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Finding the Fourth Proportional to 285.28, 425.53 and 239.12

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Solution

The fourth proportional to 285.28, 425.53 and 239.12 is: 356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.28 : 425.53 = 239.12 : x
  2. Step 2: Convert to fraction form
    285.28/425.53 = 239.12/x
  3. Step 3: Cross multiply
    285.28x = 425.53 × 239.12
  4. Step 4: Simplify right side
    285.28x = 101,752.73
  5. Step 5: Solve for x
    x = 101,752.73/285.28
  6. Step 6: Final answer
    x = 356.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.