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Finding the Fourth Proportional to 99.52, 148.19 and 98.43

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Solution

The fourth proportional to 99.52, 148.19 and 98.43 is: 146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.52 : 148.19 = 98.43 : x
  2. Step 2: Convert to fraction form
    99.52/148.19 = 98.43/x
  3. Step 3: Cross multiply
    99.52x = 148.19 × 98.43
  4. Step 4: Simplify right side
    99.52x = 14,585.85
  5. Step 5: Solve for x
    x = 14,585.85/99.52
  6. Step 6: Final answer
    x = 146.56

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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.