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Finding the Fourth Proportional to 131.14, 179.57 and 129.61

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Solution

The fourth proportional to 131.14, 179.57 and 129.61 is: 177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.14 : 179.57 = 129.61 : x
  2. Step 2: Convert to fraction form
    131.14/179.57 = 129.61/x
  3. Step 3: Cross multiply
    131.14x = 179.57 × 129.61
  4. Step 4: Simplify right side
    131.14x = 23,274.07
  5. Step 5: Solve for x
    x = 23,274.07/131.14
  6. Step 6: Final answer
    x = 177.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.