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Finding the Fourth Proportional to 116.18, 158.92 and 115.82

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Solution

The fourth proportional to 116.18, 158.92 and 115.82 is: 158.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.18 : 158.92 = 115.82 : x
  2. Step 2: Convert to fraction form
    116.18/158.92 = 115.82/x
  3. Step 3: Cross multiply
    116.18x = 158.92 × 115.82
  4. Step 4: Simplify right side
    116.18x = 18,406.11
  5. Step 5: Solve for x
    x = 18,406.11/116.18
  6. Step 6: Final answer
    x = 158.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.