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Finding the Fourth Proportional to 144.38, 216.43 and 48.13

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Solution

The fourth proportional to 144.38, 216.43 and 48.13 is: 72.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.38 : 216.43 = 48.13 : x
  2. Step 2: Convert to fraction form
    144.38/216.43 = 48.13/x
  3. Step 3: Cross multiply
    144.38x = 216.43 × 48.13
  4. Step 4: Simplify right side
    144.38x = 10,416.78
  5. Step 5: Solve for x
    x = 10,416.78/144.38
  6. Step 6: Final answer
    x = 72.15

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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.