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Finding the Fourth Proportional to 247.60, 371.20 and 213.76

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Solution

The fourth proportional to 247.60, 371.20 and 213.76 is: 320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.60 : 371.20 = 213.76 : x
  2. Step 2: Convert to fraction form
    247.60/371.20 = 213.76/x
  3. Step 3: Cross multiply
    247.60x = 371.20 × 213.76
  4. Step 4: Simplify right side
    247.60x = 79,347.71
  5. Step 5: Solve for x
    x = 79,347.71/247.60
  6. Step 6: Final answer
    x = 320.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.