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Finding the Fourth Proportional to 261.76, 391.92 and 218.56

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Solution

The fourth proportional to 261.76, 391.92 and 218.56 is: 327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.76 : 391.92 = 218.56 : x
  2. Step 2: Convert to fraction form
    261.76/391.92 = 218.56/x
  3. Step 3: Cross multiply
    261.76x = 391.92 × 218.56
  4. Step 4: Simplify right side
    261.76x = 85,658.04
  5. Step 5: Solve for x
    x = 85,658.04/261.76
  6. Step 6: Final answer
    x = 327.24

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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.