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Finding the Fourth Proportional to 278.96, 385.07 and 185.65

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Solution

The fourth proportional to 278.96, 385.07 and 185.65 is: 256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.96 : 385.07 = 185.65 : x
  2. Step 2: Convert to fraction form
    278.96/385.07 = 185.65/x
  3. Step 3: Cross multiply
    278.96x = 385.07 × 185.65
  4. Step 4: Simplify right side
    278.96x = 71,486.35
  5. Step 5: Solve for x
    x = 71,486.35/278.96
  6. Step 6: Final answer
    x = 256.26

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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.