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Finding the Fourth Proportional to 278.28, 384.22 and 178.75

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Solution

The fourth proportional to 278.28, 384.22 and 178.75 is: 246.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.28 : 384.22 = 178.75 : x
  2. Step 2: Convert to fraction form
    278.28/384.22 = 178.75/x
  3. Step 3: Cross multiply
    278.28x = 384.22 × 178.75
  4. Step 4: Simplify right side
    278.28x = 68,679.33
  5. Step 5: Solve for x
    x = 68,679.33/278.28
  6. Step 6: Final answer
    x = 246.80

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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.