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Finding the Fourth Proportional to 100.24, 149.80 and 88.96

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Solution

The fourth proportional to 100.24, 149.80 and 88.96 is: 132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.24 : 149.80 = 88.96 : x
  2. Step 2: Convert to fraction form
    100.24/149.80 = 88.96/x
  3. Step 3: Cross multiply
    100.24x = 149.80 × 88.96
  4. Step 4: Simplify right side
    100.24x = 13,326.21
  5. Step 5: Solve for x
    x = 13,326.21/100.24
  6. Step 6: Final answer
    x = 132.94

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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.