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Finding the Fourth Proportional to 143.88, 214.85 and 113.10

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Solution

The fourth proportional to 143.88, 214.85 and 113.10 is: 168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.88 : 214.85 = 113.10 : x
  2. Step 2: Convert to fraction form
    143.88/214.85 = 113.10/x
  3. Step 3: Cross multiply
    143.88x = 214.85 × 113.10
  4. Step 4: Simplify right side
    143.88x = 24,298.97
  5. Step 5: Solve for x
    x = 24,298.97/143.88
  6. Step 6: Final answer
    x = 168.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.