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Finding the Fourth Proportional to 144.54, 217.20 and 134.82

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Solution

The fourth proportional to 144.54, 217.20 and 134.82 is: 202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.54 : 217.20 = 134.82 : x
  2. Step 2: Convert to fraction form
    144.54/217.20 = 134.82/x
  3. Step 3: Cross multiply
    144.54x = 217.20 × 134.82
  4. Step 4: Simplify right side
    144.54x = 29,282.90
  5. Step 5: Solve for x
    x = 29,282.90/144.54
  6. Step 6: Final answer
    x = 202.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.