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Finding the Fourth Proportional to 131.30, 179.97 and 129.95

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Solution

The fourth proportional to 131.30, 179.97 and 129.95 is: 178.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.30 : 179.97 = 129.95 : x
  2. Step 2: Convert to fraction form
    131.30/179.97 = 129.95/x
  3. Step 3: Cross multiply
    131.30x = 179.97 × 129.95
  4. Step 4: Simplify right side
    131.30x = 23,386.20
  5. Step 5: Solve for x
    x = 23,386.20/131.30
  6. Step 6: Final answer
    x = 178.12

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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.