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Finding the Fourth Proportional to 540.66, 746.12 and 304.63

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Solution

The fourth proportional to 540.66, 746.12 and 304.63 is: 420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.66 : 746.12 = 304.63 : x
  2. Step 2: Convert to fraction form
    540.66/746.12 = 304.63/x
  3. Step 3: Cross multiply
    540.66x = 746.12 × 304.63
  4. Step 4: Simplify right side
    540.66x = 227,290.54
  5. Step 5: Solve for x
    x = 227,290.54/540.66
  6. Step 6: Final answer
    x = 420.39

Related Problems

Find fourth proportional to 270.33, 373.06 and 152.32
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Double scale
Find fourth proportional to 541.66, 747.50 and 305.63
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.