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Finding the Fourth Proportional to 144.51, 217.17 and 134.79

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Solution

The fourth proportional to 144.51, 217.17 and 134.79 is: 202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.51 : 217.17 = 134.79 : x
  2. Step 2: Convert to fraction form
    144.51/217.17 = 134.79/x
  3. Step 3: Cross multiply
    144.51x = 217.17 × 134.79
  4. Step 4: Simplify right side
    144.51x = 29,272.34
  5. Step 5: Solve for x
    x = 29,272.34/144.51
  6. Step 6: Final answer
    x = 202.56

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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.