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Finding the Fourth Proportional to 99.61, 148.64 and 89.39

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Solution

The fourth proportional to 99.61, 148.64 and 89.39 is: 133.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.61 : 148.64 = 89.39 : x
  2. Step 2: Convert to fraction form
    99.61/148.64 = 89.39/x
  3. Step 3: Cross multiply
    99.61x = 148.64 × 89.39
  4. Step 4: Simplify right side
    99.61x = 13,286.85
  5. Step 5: Solve for x
    x = 13,286.85/99.61
  6. Step 6: Final answer
    x = 133.39

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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.