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Finding the Fourth Proportional to 247.20, 340.92 and 159.72

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Solution

The fourth proportional to 247.20, 340.92 and 159.72 is: 220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.20 : 340.92 = 159.72 : x
  2. Step 2: Convert to fraction form
    247.20/340.92 = 159.72/x
  3. Step 3: Cross multiply
    247.20x = 340.92 × 159.72
  4. Step 4: Simplify right side
    247.20x = 54,451.74
  5. Step 5: Solve for x
    x = 54,451.74/247.20
  6. Step 6: Final answer
    x = 220.27

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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.