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Finding the Fourth Proportional to 285.75, 426.71 and 239.72

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Solution

The fourth proportional to 285.75, 426.71 and 239.72 is: 357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.75 : 426.71 = 239.72 : x
  2. Step 2: Convert to fraction form
    285.75/426.71 = 239.72/x
  3. Step 3: Cross multiply
    285.75x = 426.71 × 239.72
  4. Step 4: Simplify right side
    285.75x = 102,289.39
  5. Step 5: Solve for x
    x = 102,289.39/285.75
  6. Step 6: Final answer
    x = 357.97

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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.