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Finding the Fourth Proportional to 438.97, 658.77 and 256.42

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Solution

The fourth proportional to 438.97, 658.77 and 256.42 is: 384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.97 : 658.77 = 256.42 : x
  2. Step 2: Convert to fraction form
    438.97/658.77 = 256.42/x
  3. Step 3: Cross multiply
    438.97x = 658.77 × 256.42
  4. Step 4: Simplify right side
    438.97x = 168,921.80
  5. Step 5: Solve for x
    x = 168,921.80/438.97
  6. Step 6: Final answer
    x = 384.81

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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.