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Finding the Fourth Proportional to 144.85, 217.20 and 53.52

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Solution

The fourth proportional to 144.85, 217.20 and 53.52 is: 80.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.85 : 217.20 = 53.52 : x
  2. Step 2: Convert to fraction form
    144.85/217.20 = 53.52/x
  3. Step 3: Cross multiply
    144.85x = 217.20 × 53.52
  4. Step 4: Simplify right side
    144.85x = 11,624.54
  5. Step 5: Solve for x
    x = 11,624.54/144.85
  6. Step 6: Final answer
    x = 80.25

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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.