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Finding the Fourth Proportional to 116.77, 162.22 and 115.71

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Solution

The fourth proportional to 116.77, 162.22 and 115.71 is: 160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.77 : 162.22 = 115.71 : x
  2. Step 2: Convert to fraction form
    116.77/162.22 = 115.71/x
  3. Step 3: Cross multiply
    116.77x = 162.22 × 115.71
  4. Step 4: Simplify right side
    116.77x = 18,770.48
  5. Step 5: Solve for x
    x = 18,770.48/116.77
  6. Step 6: Final answer
    x = 160.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.