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Finding the Fourth Proportional to 354.34, 531.01 and 217.36

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Solution

The fourth proportional to 354.34, 531.01 and 217.36 is: 325.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.34 : 531.01 = 217.36 : x
  2. Step 2: Convert to fraction form
    354.34/531.01 = 217.36/x
  3. Step 3: Cross multiply
    354.34x = 531.01 × 217.36
  4. Step 4: Simplify right side
    354.34x = 115,420.33
  5. Step 5: Solve for x
    x = 115,420.33/354.34
  6. Step 6: Final answer
    x = 325.73

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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.