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Finding the Fourth Proportional to 312.75, 433.61 and 294.12

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Solution

The fourth proportional to 312.75, 433.61 and 294.12 is: 407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.75 : 433.61 = 294.12 : x
  2. Step 2: Convert to fraction form
    312.75/433.61 = 294.12/x
  3. Step 3: Cross multiply
    312.75x = 433.61 × 294.12
  4. Step 4: Simplify right side
    312.75x = 127,531.90
  5. Step 5: Solve for x
    x = 127,531.90/312.75
  6. Step 6: Final answer
    x = 407.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.