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Finding the Fourth Proportional to 249.85, 374.42 and 185.65

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Solution

The fourth proportional to 249.85, 374.42 and 185.65 is: 278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.85 : 374.42 = 185.65 : x
  2. Step 2: Convert to fraction form
    249.85/374.42 = 185.65/x
  3. Step 3: Cross multiply
    249.85x = 374.42 × 185.65
  4. Step 4: Simplify right side
    249.85x = 69,510.14
  5. Step 5: Solve for x
    x = 69,510.14/249.85
  6. Step 6: Final answer
    x = 278.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.