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Finding the Fourth Proportional to 113.42, 170.80 and 99.15

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Solution

The fourth proportional to 113.42, 170.80 and 99.15 is: 149.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.42 : 170.80 = 99.15 : x
  2. Step 2: Convert to fraction form
    113.42/170.80 = 99.15/x
  3. Step 3: Cross multiply
    113.42x = 170.80 × 99.15
  4. Step 4: Simplify right side
    113.42x = 16,934.82
  5. Step 5: Solve for x
    x = 16,934.82/113.42
  6. Step 6: Final answer
    x = 149.31

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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.