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Finding the Fourth Proportional to 537.38, 741.58 and 304.55

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Solution

The fourth proportional to 537.38, 741.58 and 304.55 is: 420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.38 : 741.58 = 304.55 : x
  2. Step 2: Convert to fraction form
    537.38/741.58 = 304.55/x
  3. Step 3: Cross multiply
    537.38x = 741.58 × 304.55
  4. Step 4: Simplify right side
    537.38x = 225,844.48
  5. Step 5: Solve for x
    x = 225,844.48/537.38
  6. Step 6: Final answer
    x = 420.27

Related Problems

Find fourth proportional to 268.69, 370.79 and 152.27
Half scale
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Double scale
Find fourth proportional to 538.38, 742.96 and 305.55
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.