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Finding the Fourth Proportional to 293.42, 440.40 and 225.11

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Solution

The fourth proportional to 293.42, 440.40 and 225.11 is: 337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.42 : 440.40 = 225.11 : x
  2. Step 2: Convert to fraction form
    293.42/440.40 = 225.11/x
  3. Step 3: Cross multiply
    293.42x = 440.40 × 225.11
  4. Step 4: Simplify right side
    293.42x = 99,138.44
  5. Step 5: Solve for x
    x = 99,138.44/293.42
  6. Step 6: Final answer
    x = 337.87

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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.