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Finding the Fourth Proportional to 285.32, 425.61 and 239.96

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Solution

The fourth proportional to 285.32, 425.61 and 239.96 is: 357.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.32 : 425.61 = 239.96 : x
  2. Step 2: Convert to fraction form
    285.32/425.61 = 239.96/x
  3. Step 3: Cross multiply
    285.32x = 425.61 × 239.96
  4. Step 4: Simplify right side
    285.32x = 102,129.38
  5. Step 5: Solve for x
    x = 102,129.38/285.32
  6. Step 6: Final answer
    x = 357.95

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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.