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Finding the Fourth Proportional to 278.61, 384.79 and 185.75

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Solution

The fourth proportional to 278.61, 384.79 and 185.75 is: 256.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.61 : 384.79 = 185.75 : x
  2. Step 2: Convert to fraction form
    278.61/384.79 = 185.75/x
  3. Step 3: Cross multiply
    278.61x = 384.79 × 185.75
  4. Step 4: Simplify right side
    278.61x = 71,472.35
  5. Step 5: Solve for x
    x = 71,472.35/278.61
  6. Step 6: Final answer
    x = 256.53

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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.