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Finding the Fourth Proportional to 140.62, 193.16 and 136.52

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Solution

The fourth proportional to 140.62, 193.16 and 136.52 is: 187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.62 : 193.16 = 136.52 : x
  2. Step 2: Convert to fraction form
    140.62/193.16 = 136.52/x
  3. Step 3: Cross multiply
    140.62x = 193.16 × 136.52
  4. Step 4: Simplify right side
    140.62x = 26,370.20
  5. Step 5: Solve for x
    x = 26,370.20/140.62
  6. Step 6: Final answer
    x = 187.53

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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.