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Finding the Fourth Proportional to 144.20, 216.16 and 72.12

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Solution

The fourth proportional to 144.20, 216.16 and 72.12 is: 108.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.20 : 216.16 = 72.12 : x
  2. Step 2: Convert to fraction form
    144.20/216.16 = 72.12/x
  3. Step 3: Cross multiply
    144.20x = 216.16 × 72.12
  4. Step 4: Simplify right side
    144.20x = 15,589.46
  5. Step 5: Solve for x
    x = 15,589.46/144.20
  6. Step 6: Final answer
    x = 108.11

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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.