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Finding the Fourth Proportional to 278.71, 384.85 and 185.42

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Solution

The fourth proportional to 278.71, 384.85 and 185.42 is: 256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.71 : 384.85 = 185.42 : x
  2. Step 2: Convert to fraction form
    278.71/384.85 = 185.42/x
  3. Step 3: Cross multiply
    278.71x = 384.85 × 185.42
  4. Step 4: Simplify right side
    278.71x = 71,360.08
  5. Step 5: Solve for x
    x = 71,360.08/278.71
  6. Step 6: Final answer
    x = 256.04

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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.