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Finding the Fourth Proportional to 546.27, 818.78 and 340.89

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Solution

The fourth proportional to 546.27, 818.78 and 340.89 is: 510.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.27 : 818.78 = 340.89 : x
  2. Step 2: Convert to fraction form
    546.27/818.78 = 340.89/x
  3. Step 3: Cross multiply
    546.27x = 818.78 × 340.89
  4. Step 4: Simplify right side
    546.27x = 279,112.21
  5. Step 5: Solve for x
    x = 279,112.21/546.27
  6. Step 6: Final answer
    x = 510.94

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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.