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Finding the Fourth Proportional to 185.32, 256.99 and 179.38

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Solution

The fourth proportional to 185.32, 256.99 and 179.38 is: 248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.32 : 256.99 = 179.38 : x
  2. Step 2: Convert to fraction form
    185.32/256.99 = 179.38/x
  3. Step 3: Cross multiply
    185.32x = 256.99 × 179.38
  4. Step 4: Simplify right side
    185.32x = 46,098.87
  5. Step 5: Solve for x
    x = 46,098.87/185.32
  6. Step 6: Final answer
    x = 248.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.