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Finding the Fourth Proportional to 99.38, 148.39 and 89.03

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Solution

The fourth proportional to 99.38, 148.39 and 89.03 is: 132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.38 : 148.39 = 89.03 : x
  2. Step 2: Convert to fraction form
    99.38/148.39 = 89.03/x
  3. Step 3: Cross multiply
    99.38x = 148.39 × 89.03
  4. Step 4: Simplify right side
    99.38x = 13,211.16
  5. Step 5: Solve for x
    x = 13,211.16/99.38
  6. Step 6: Final answer
    x = 132.94

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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.