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Finding the Fourth Proportional to 99.13, 149.47 and 97.99

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Solution

The fourth proportional to 99.13, 149.47 and 97.99 is: 147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.13 : 149.47 = 97.99 : x
  2. Step 2: Convert to fraction form
    99.13/149.47 = 97.99/x
  3. Step 3: Cross multiply
    99.13x = 149.47 × 97.99
  4. Step 4: Simplify right side
    99.13x = 14,646.57
  5. Step 5: Solve for x
    x = 14,646.57/99.13
  6. Step 6: Final answer
    x = 147.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.