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Finding the Fourth Proportional to 537.40, 741.20 and 390.16

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Solution

The fourth proportional to 537.40, 741.20 and 390.16 is: 538.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.40 : 741.20 = 390.16 : x
  2. Step 2: Convert to fraction form
    537.40/741.20 = 390.16/x
  3. Step 3: Cross multiply
    537.40x = 741.20 × 390.16
  4. Step 4: Simplify right side
    537.40x = 289,186.59
  5. Step 5: Solve for x
    x = 289,186.59/537.40
  6. Step 6: Final answer
    x = 538.12

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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.