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Finding the Fourth Proportional to 113.69, 157.31 and 99.17

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Solution

The fourth proportional to 113.69, 157.31 and 99.17 is: 137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.69 : 157.31 = 99.17 : x
  2. Step 2: Convert to fraction form
    113.69/157.31 = 99.17/x
  3. Step 3: Cross multiply
    113.69x = 157.31 × 99.17
  4. Step 4: Simplify right side
    113.69x = 15,599.15
  5. Step 5: Solve for x
    x = 15,599.15/113.69
  6. Step 6: Final answer
    x = 137.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.