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Finding the Fourth Proportional to 251.46, 347.38 and 207.78

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Solution

The fourth proportional to 251.46, 347.38 and 207.78 is: 287.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.46 : 347.38 = 207.78 : x
  2. Step 2: Convert to fraction form
    251.46/347.38 = 207.78/x
  3. Step 3: Cross multiply
    251.46x = 347.38 × 207.78
  4. Step 4: Simplify right side
    251.46x = 72,178.62
  5. Step 5: Solve for x
    x = 72,178.62/251.46
  6. Step 6: Final answer
    x = 287.04

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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.