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Finding the Fourth Proportional to 342.54, 471.92 and 225.90

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Solution

The fourth proportional to 342.54, 471.92 and 225.90 is: 311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.54 : 471.92 = 225.90 : x
  2. Step 2: Convert to fraction form
    342.54/471.92 = 225.90/x
  3. Step 3: Cross multiply
    342.54x = 471.92 × 225.90
  4. Step 4: Simplify right side
    342.54x = 106,606.73
  5. Step 5: Solve for x
    x = 106,606.73/342.54
  6. Step 6: Final answer
    x = 311.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.