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Finding the Fourth Proportional to 144.18, 199.22 and 128.66

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Solution

The fourth proportional to 144.18, 199.22 and 128.66 is: 177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.18 : 199.22 = 128.66 : x
  2. Step 2: Convert to fraction form
    144.18/199.22 = 128.66/x
  3. Step 3: Cross multiply
    144.18x = 199.22 × 128.66
  4. Step 4: Simplify right side
    144.18x = 25,630.01
  5. Step 5: Solve for x
    x = 25,630.01/144.18
  6. Step 6: Final answer
    x = 177.76

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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.