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Finding the Fourth Proportional to 131.63, 182.42 and 129.60

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Solution

The fourth proportional to 131.63, 182.42 and 129.60 is: 179.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.63 : 182.42 = 129.60 : x
  2. Step 2: Convert to fraction form
    131.63/182.42 = 129.60/x
  3. Step 3: Cross multiply
    131.63x = 182.42 × 129.60
  4. Step 4: Simplify right side
    131.63x = 23,641.47
  5. Step 5: Solve for x
    x = 23,641.47/131.63
  6. Step 6: Final answer
    x = 179.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.