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Finding the Fourth Proportional to 144.90, 217.32 and 42.19

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Solution

The fourth proportional to 144.90, 217.32 and 42.19 is: 63.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.90 : 217.32 = 42.19 : x
  2. Step 2: Convert to fraction form
    144.90/217.32 = 42.19/x
  3. Step 3: Cross multiply
    144.90x = 217.32 × 42.19
  4. Step 4: Simplify right side
    144.90x = 9,168.73
  5. Step 5: Solve for x
    x = 9,168.73/144.90
  6. Step 6: Final answer
    x = 63.28

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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.