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Finding the Fourth Proportional to 144.23, 216.41 and 75.80

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Solution

The fourth proportional to 144.23, 216.41 and 75.80 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.23 : 216.41 = 75.80 : x
  2. Step 2: Convert to fraction form
    144.23/216.41 = 75.80/x
  3. Step 3: Cross multiply
    144.23x = 216.41 × 75.80
  4. Step 4: Simplify right side
    144.23x = 16,404.04
  5. Step 5: Solve for x
    x = 16,404.04/144.23
  6. Step 6: Final answer
    x = 113.73

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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.