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Finding the Fourth Proportional to 118.20, 162.01 and 116.52

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Solution

The fourth proportional to 118.20, 162.01 and 116.52 is: 159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.20 : 162.01 = 116.52 : x
  2. Step 2: Convert to fraction form
    118.20/162.01 = 116.52/x
  3. Step 3: Cross multiply
    118.20x = 162.01 × 116.52
  4. Step 4: Simplify right side
    118.20x = 18,877.41
  5. Step 5: Solve for x
    x = 18,877.41/118.20
  6. Step 6: Final answer
    x = 159.71

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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.