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Finding the Fourth Proportional to 100.20, 149.73 and 89.40

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Solution

The fourth proportional to 100.20, 149.73 and 89.40 is: 133.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.20 : 149.73 = 89.40 : x
  2. Step 2: Convert to fraction form
    100.20/149.73 = 89.40/x
  3. Step 3: Cross multiply
    100.20x = 149.73 × 89.40
  4. Step 4: Simplify right side
    100.20x = 13,385.86
  5. Step 5: Solve for x
    x = 13,385.86/100.20
  6. Step 6: Final answer
    x = 133.59

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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.