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Finding the Fourth Proportional to 144.68, 199.66 and 82.50

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Solution

The fourth proportional to 144.68, 199.66 and 82.50 is: 113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.68 : 199.66 = 82.50 : x
  2. Step 2: Convert to fraction form
    144.68/199.66 = 82.50/x
  3. Step 3: Cross multiply
    144.68x = 199.66 × 82.50
  4. Step 4: Simplify right side
    144.68x = 16,471.95
  5. Step 5: Solve for x
    x = 16,471.95/144.68
  6. Step 6: Final answer
    x = 113.85

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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.