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Finding the Fourth Proportional to 342.12, 471.78 and 225.64

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Solution

The fourth proportional to 342.12, 471.78 and 225.64 is: 311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.12 : 471.78 = 225.64 : x
  2. Step 2: Convert to fraction form
    342.12/471.78 = 225.64/x
  3. Step 3: Cross multiply
    342.12x = 471.78 × 225.64
  4. Step 4: Simplify right side
    342.12x = 106,452.44
  5. Step 5: Solve for x
    x = 106,452.44/342.12
  6. Step 6: Final answer
    x = 311.16

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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.