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Finding the Fourth Proportional to 140.22, 193.75 and 132.93

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Solution

The fourth proportional to 140.22, 193.75 and 132.93 is: 183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.22 : 193.75 = 132.93 : x
  2. Step 2: Convert to fraction form
    140.22/193.75 = 132.93/x
  3. Step 3: Cross multiply
    140.22x = 193.75 × 132.93
  4. Step 4: Simplify right side
    140.22x = 25,755.52
  5. Step 5: Solve for x
    x = 25,755.52/140.22
  6. Step 6: Final answer
    x = 183.68

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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.