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Finding the Fourth Proportional to 116.11, 158.97 and 115

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Solution

The fourth proportional to 116.11, 158.97 and 115 is: 157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.11 : 158.97 = 115 : x
  2. Step 2: Convert to fraction form
    116.11/158.97 = 115/x
  3. Step 3: Cross multiply
    116.11x = 158.97 × 115
  4. Step 4: Simplify right side
    116.11x = 18,281.55
  5. Step 5: Solve for x
    x = 18,281.55/116.11
  6. Step 6: Final answer
    x = 157.45

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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.