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Finding the Fourth Proportional to 314.12, 433.44 and 291.78

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Solution

The fourth proportional to 314.12, 433.44 and 291.78 is: 402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.12 : 433.44 = 291.78 : x
  2. Step 2: Convert to fraction form
    314.12/433.44 = 291.78/x
  3. Step 3: Cross multiply
    314.12x = 433.44 × 291.78
  4. Step 4: Simplify right side
    314.12x = 126,469.12
  5. Step 5: Solve for x
    x = 126,469.12/314.12
  6. Step 6: Final answer
    x = 402.61

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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.