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Finding the Fourth Proportional to 367.91, 508.16 and 285.29

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Solution

The fourth proportional to 367.91, 508.16 and 285.29 is: 394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.91 : 508.16 = 285.29 : x
  2. Step 2: Convert to fraction form
    367.91/508.16 = 285.29/x
  3. Step 3: Cross multiply
    367.91x = 508.16 × 285.29
  4. Step 4: Simplify right side
    367.91x = 144,972.97
  5. Step 5: Solve for x
    x = 144,972.97/367.91
  6. Step 6: Final answer
    x = 394.04

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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.