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Finding the Fourth Proportional to 144.24, 197.80 and 129.64

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Solution

The fourth proportional to 144.24, 197.80 and 129.64 is: 177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.24 : 197.80 = 129.64 : x
  2. Step 2: Convert to fraction form
    144.24/197.80 = 129.64/x
  3. Step 3: Cross multiply
    144.24x = 197.80 × 129.64
  4. Step 4: Simplify right side
    144.24x = 25,642.79
  5. Step 5: Solve for x
    x = 25,642.79/144.24
  6. Step 6: Final answer
    x = 177.78

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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.