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Finding the Fourth Proportional to 144.96, 217.52 and 88

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Solution

The fourth proportional to 144.96, 217.52 and 88 is: 132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.96 : 217.52 = 88 : x
  2. Step 2: Convert to fraction form
    144.96/217.52 = 88/x
  3. Step 3: Cross multiply
    144.96x = 217.52 × 88
  4. Step 4: Simplify right side
    144.96x = 19,141.76
  5. Step 5: Solve for x
    x = 19,141.76/144.96
  6. Step 6: Final answer
    x = 132.05

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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.