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Finding the Fourth Proportional to 99.52, 147.95 and 97.90

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Solution

The fourth proportional to 99.52, 147.95 and 97.90 is: 145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.52 : 147.95 = 97.90 : x
  2. Step 2: Convert to fraction form
    99.52/147.95 = 97.90/x
  3. Step 3: Cross multiply
    99.52x = 147.95 × 97.90
  4. Step 4: Simplify right side
    99.52x = 14,484.31
  5. Step 5: Solve for x
    x = 14,484.31/99.52
  6. Step 6: Final answer
    x = 145.54

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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.