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Finding the Fourth Proportional to 354.78, 531.48 and 217.42

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Solution

The fourth proportional to 354.78, 531.48 and 217.42 is: 325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.78 : 531.48 = 217.42 : x
  2. Step 2: Convert to fraction form
    354.78/531.48 = 217.42/x
  3. Step 3: Cross multiply
    354.78x = 531.48 × 217.42
  4. Step 4: Simplify right side
    354.78x = 115,554.38
  5. Step 5: Solve for x
    x = 115,554.38/354.78
  6. Step 6: Final answer
    x = 325.71

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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.