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Finding the Fourth Proportional to 131.48, 198.18 and 129.66

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Solution

The fourth proportional to 131.48, 198.18 and 129.66 is: 195.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.48 : 198.18 = 129.66 : x
  2. Step 2: Convert to fraction form
    131.48/198.18 = 129.66/x
  3. Step 3: Cross multiply
    131.48x = 198.18 × 129.66
  4. Step 4: Simplify right side
    131.48x = 25,696.02
  5. Step 5: Solve for x
    x = 25,696.02/131.48
  6. Step 6: Final answer
    x = 195.44

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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.