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Finding the Fourth Proportional to 144.21, 216.38 and 75.71

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Solution

The fourth proportional to 144.21, 216.38 and 75.71 is: 113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.21 : 216.38 = 75.71 : x
  2. Step 2: Convert to fraction form
    144.21/216.38 = 75.71/x
  3. Step 3: Cross multiply
    144.21x = 216.38 × 75.71
  4. Step 4: Simplify right side
    144.21x = 16,382.56
  5. Step 5: Solve for x
    x = 16,382.56/144.21
  6. Step 6: Final answer
    x = 113.60

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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.