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Finding the Fourth Proportional to 118.26, 162.80 and 101.79

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Solution

The fourth proportional to 118.26, 162.80 and 101.79 is: 140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.26 : 162.80 = 101.79 : x
  2. Step 2: Convert to fraction form
    118.26/162.80 = 101.79/x
  3. Step 3: Cross multiply
    118.26x = 162.80 × 101.79
  4. Step 4: Simplify right side
    118.26x = 16,570.09
  5. Step 5: Solve for x
    x = 16,570.09/118.26
  6. Step 6: Final answer
    x = 140.12

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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.