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Finding the Fourth Proportional to 132.92, 198.40 and 127.00

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Solution

The fourth proportional to 132.92, 198.40 and 127.00 is: 189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.92 : 198.40 = 127.00 : x
  2. Step 2: Convert to fraction form
    132.92/198.40 = 127.00/x
  3. Step 3: Cross multiply
    132.92x = 198.40 × 127.00
  4. Step 4: Simplify right side
    132.92x = 25,195.81
  5. Step 5: Solve for x
    x = 25,195.81/132.92
  6. Step 6: Final answer
    x = 189.56

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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.