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Finding the Fourth Proportional to 354.04, 531.30 and 225.88

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Solution

The fourth proportional to 354.04, 531.30 and 225.88 is: 338.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.04 : 531.30 = 225.88 : x
  2. Step 2: Convert to fraction form
    354.04/531.30 = 225.88/x
  3. Step 3: Cross multiply
    354.04x = 531.30 × 225.88
  4. Step 4: Simplify right side
    354.04x = 120,010.04
  5. Step 5: Solve for x
    x = 120,010.04/354.04
  6. Step 6: Final answer
    x = 338.97

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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.