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Finding the Fourth Proportional to 546.31, 818.88 and 216.79

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Solution

The fourth proportional to 546.31, 818.88 and 216.79 is: 324.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.31 : 818.88 = 216.79 : x
  2. Step 2: Convert to fraction form
    546.31/818.88 = 216.79/x
  3. Step 3: Cross multiply
    546.31x = 818.88 × 216.79
  4. Step 4: Simplify right side
    546.31x = 177,526.66
  5. Step 5: Solve for x
    x = 177,526.66/546.31
  6. Step 6: Final answer
    x = 324.96

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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.