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Finding the Fourth Proportional to 99.20, 148.90 and 53.59

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Solution

The fourth proportional to 99.20, 148.90 and 53.59 is: 80.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.20 : 148.90 = 53.59 : x
  2. Step 2: Convert to fraction form
    99.20/148.90 = 53.59/x
  3. Step 3: Cross multiply
    99.20x = 148.90 × 53.59
  4. Step 4: Simplify right side
    99.20x = 7,978.85
  5. Step 5: Solve for x
    x = 7,978.85/99.20
  6. Step 6: Final answer
    x = 80.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.