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Finding the Fourth Proportional to 144.57, 216.89 and 48.38

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Solution

The fourth proportional to 144.57, 216.89 and 48.38 is: 72.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.57 : 216.89 = 48.38 : x
  2. Step 2: Convert to fraction form
    144.57/216.89 = 48.38/x
  3. Step 3: Cross multiply
    144.57x = 216.89 × 48.38
  4. Step 4: Simplify right side
    144.57x = 10,493.14
  5. Step 5: Solve for x
    x = 10,493.14/144.57
  6. Step 6: Final answer
    x = 72.58

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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.