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Finding the Fourth Proportional to 291.42, 402.27 and 225.66

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Solution

The fourth proportional to 291.42, 402.27 and 225.66 is: 311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.42 : 402.27 = 225.66 : x
  2. Step 2: Convert to fraction form
    291.42/402.27 = 225.66/x
  3. Step 3: Cross multiply
    291.42x = 402.27 × 225.66
  4. Step 4: Simplify right side
    291.42x = 90,776.25
  5. Step 5: Solve for x
    x = 90,776.25/291.42
  6. Step 6: Final answer
    x = 311.50

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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.