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Finding the Fourth Proportional to 487.60, 731.22 and 198.88

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Solution

The fourth proportional to 487.60, 731.22 and 198.88 is: 298.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.60 : 731.22 = 198.88 : x
  2. Step 2: Convert to fraction form
    487.60/731.22 = 198.88/x
  3. Step 3: Cross multiply
    487.60x = 731.22 × 198.88
  4. Step 4: Simplify right side
    487.60x = 145,425.03
  5. Step 5: Solve for x
    x = 145,425.03/487.60
  6. Step 6: Final answer
    x = 298.25

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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.