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Finding the Fourth Proportional to 658.64, 987.28 and 225.48

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Solution

The fourth proportional to 658.64, 987.28 and 225.48 is: 337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.64 : 987.28 = 225.48 : x
  2. Step 2: Convert to fraction form
    658.64/987.28 = 225.48/x
  3. Step 3: Cross multiply
    658.64x = 987.28 × 225.48
  4. Step 4: Simplify right side
    658.64x = 222,611.89
  5. Step 5: Solve for x
    x = 222,611.89/658.64
  6. Step 6: Final answer
    x = 337.99

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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.