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Finding the Fourth Proportional to 138.04, 205.68 and 132.81

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Solution

The fourth proportional to 138.04, 205.68 and 132.81 is: 197.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.04 : 205.68 = 132.81 : x
  2. Step 2: Convert to fraction form
    138.04/205.68 = 132.81/x
  3. Step 3: Cross multiply
    138.04x = 205.68 × 132.81
  4. Step 4: Simplify right side
    138.04x = 27,316.09
  5. Step 5: Solve for x
    x = 27,316.09/138.04
  6. Step 6: Final answer
    x = 197.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.