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Finding the Fourth Proportional to 144.72, 199.68 and 82.52

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Solution

The fourth proportional to 144.72, 199.68 and 82.52 is: 113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.72 : 199.68 = 82.52 : x
  2. Step 2: Convert to fraction form
    144.72/199.68 = 82.52/x
  3. Step 3: Cross multiply
    144.72x = 199.68 × 82.52
  4. Step 4: Simplify right side
    144.72x = 16,477.29
  5. Step 5: Solve for x
    x = 16,477.29/144.72
  6. Step 6: Final answer
    x = 113.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.