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Finding the Fourth Proportional to 438.73, 658.17 and 256.03

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Solution

The fourth proportional to 438.73, 658.17 and 256.03 is: 384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.73 : 658.17 = 256.03 : x
  2. Step 2: Convert to fraction form
    438.73/658.17 = 256.03/x
  3. Step 3: Cross multiply
    438.73x = 658.17 × 256.03
  4. Step 4: Simplify right side
    438.73x = 168,511.27
  5. Step 5: Solve for x
    x = 168,511.27/438.73
  6. Step 6: Final answer
    x = 384.09

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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.