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Finding the Fourth Proportional to 143.20, 215.68 and 130.71

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Solution

The fourth proportional to 143.20, 215.68 and 130.71 is: 196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.20 : 215.68 = 130.71 : x
  2. Step 2: Convert to fraction form
    143.20/215.68 = 130.71/x
  3. Step 3: Cross multiply
    143.20x = 215.68 × 130.71
  4. Step 4: Simplify right side
    143.20x = 28,190.88
  5. Step 5: Solve for x
    x = 28,190.88/143.20
  6. Step 6: Final answer
    x = 196.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.