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Finding the Fourth Proportional to 539.27, 809.13 and 366.13

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Solution

The fourth proportional to 539.27, 809.13 and 366.13 is: 549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.27 : 809.13 = 366.13 : x
  2. Step 2: Convert to fraction form
    539.27/809.13 = 366.13/x
  3. Step 3: Cross multiply
    539.27x = 809.13 × 366.13
  4. Step 4: Simplify right side
    539.27x = 296,246.77
  5. Step 5: Solve for x
    x = 296,246.77/539.27
  6. Step 6: Final answer
    x = 549.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.