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Finding the Fourth Proportional to 144.77, 199.34 and 129.17

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Solution

The fourth proportional to 144.77, 199.34 and 129.17 is: 177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.77 : 199.34 = 129.17 : x
  2. Step 2: Convert to fraction form
    144.77/199.34 = 129.17/x
  3. Step 3: Cross multiply
    144.77x = 199.34 × 129.17
  4. Step 4: Simplify right side
    144.77x = 25,748.16
  5. Step 5: Solve for x
    x = 25,748.16/144.77
  6. Step 6: Final answer
    x = 177.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.