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Finding the Fourth Proportional to 144.57, 199.49 and 82.40

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Solution

The fourth proportional to 144.57, 199.49 and 82.40 is: 113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.57 : 199.49 = 82.40 : x
  2. Step 2: Convert to fraction form
    144.57/199.49 = 82.40/x
  3. Step 3: Cross multiply
    144.57x = 199.49 × 82.40
  4. Step 4: Simplify right side
    144.57x = 16,437.18
  5. Step 5: Solve for x
    x = 16,437.18/144.57
  6. Step 6: Final answer
    x = 113.70

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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.