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Finding the Fourth Proportional to 100.44, 149.85 and 87.58

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Solution

The fourth proportional to 100.44, 149.85 and 87.58 is: 130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.44 : 149.85 = 87.58 : x
  2. Step 2: Convert to fraction form
    100.44/149.85 = 87.58/x
  3. Step 3: Cross multiply
    100.44x = 149.85 × 87.58
  4. Step 4: Simplify right side
    100.44x = 13,123.49
  5. Step 5: Solve for x
    x = 13,123.49/100.44
  6. Step 6: Final answer
    x = 130.66

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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.