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Finding the Fourth Proportional to 294.38, 404.12 and 252.87

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Solution

The fourth proportional to 294.38, 404.12 and 252.87 is: 347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.38 : 404.12 = 252.87 : x
  2. Step 2: Convert to fraction form
    294.38/404.12 = 252.87/x
  3. Step 3: Cross multiply
    294.38x = 404.12 × 252.87
  4. Step 4: Simplify right side
    294.38x = 102,189.82
  5. Step 5: Solve for x
    x = 102,189.82/294.38
  6. Step 6: Final answer
    x = 347.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.