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Finding the Fourth Proportional to 131.34, 198.17 and 127.16

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Solution

The fourth proportional to 131.34, 198.17 and 127.16 is: 191.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.34 : 198.17 = 127.16 : x
  2. Step 2: Convert to fraction form
    131.34/198.17 = 127.16/x
  3. Step 3: Cross multiply
    131.34x = 198.17 × 127.16
  4. Step 4: Simplify right side
    131.34x = 25,198.31
  5. Step 5: Solve for x
    x = 25,198.31/131.34
  6. Step 6: Final answer
    x = 191.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.