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Finding the Fourth Proportional to 185.38, 276.11 and 175.62

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Solution

The fourth proportional to 185.38, 276.11 and 175.62 is: 261.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.38 : 276.11 = 175.62 : x
  2. Step 2: Convert to fraction form
    185.38/276.11 = 175.62/x
  3. Step 3: Cross multiply
    185.38x = 276.11 × 175.62
  4. Step 4: Simplify right side
    185.38x = 48,490.48
  5. Step 5: Solve for x
    x = 48,490.48/185.38
  6. Step 6: Final answer
    x = 261.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.