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Finding the Fourth Proportional to 99.41, 149.80 and 81.77

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Solution

The fourth proportional to 99.41, 149.80 and 81.77 is: 123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.41 : 149.80 = 81.77 : x
  2. Step 2: Convert to fraction form
    99.41/149.80 = 81.77/x
  3. Step 3: Cross multiply
    99.41x = 149.80 × 81.77
  4. Step 4: Simplify right side
    99.41x = 12,248.74
  5. Step 5: Solve for x
    x = 12,248.74/99.41
  6. Step 6: Final answer
    x = 123.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.