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Finding the Fourth Proportional to 132.88, 198.56 and 98.71

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Solution

The fourth proportional to 132.88, 198.56 and 98.71 is: 147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.88 : 198.56 = 98.71 : x
  2. Step 2: Convert to fraction form
    132.88/198.56 = 98.71/x
  3. Step 3: Cross multiply
    132.88x = 198.56 × 98.71
  4. Step 4: Simplify right side
    132.88x = 19,599.86
  5. Step 5: Solve for x
    x = 19,599.86/132.88
  6. Step 6: Final answer
    x = 147.50

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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.