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Finding the Fourth Proportional to 99.79, 148.82 and 89.47

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Solution

The fourth proportional to 99.79, 148.82 and 89.47 is: 133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.79 : 148.82 = 89.47 : x
  2. Step 2: Convert to fraction form
    99.79/148.82 = 89.47/x
  3. Step 3: Cross multiply
    99.79x = 148.82 × 89.47
  4. Step 4: Simplify right side
    99.79x = 13,314.93
  5. Step 5: Solve for x
    x = 13,314.93/99.79
  6. Step 6: Final answer
    x = 133.43

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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.