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Finding the Fourth Proportional to 526.17, 789.31 and 217.97

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Solution

The fourth proportional to 526.17, 789.31 and 217.97 is: 326.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.17 : 789.31 = 217.97 : x
  2. Step 2: Convert to fraction form
    526.17/789.31 = 217.97/x
  3. Step 3: Cross multiply
    526.17x = 789.31 × 217.97
  4. Step 4: Simplify right side
    526.17x = 172,045.90
  5. Step 5: Solve for x
    x = 172,045.90/526.17
  6. Step 6: Final answer
    x = 326.98

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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.