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Finding the Fourth Proportional to 187.86, 261.05 and 185.88

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Solution

The fourth proportional to 187.86, 261.05 and 185.88 is: 258.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.86 : 261.05 = 185.88 : x
  2. Step 2: Convert to fraction form
    187.86/261.05 = 185.88/x
  3. Step 3: Cross multiply
    187.86x = 261.05 × 185.88
  4. Step 4: Simplify right side
    187.86x = 48,523.04
  5. Step 5: Solve for x
    x = 48,523.04/187.86
  6. Step 6: Final answer
    x = 258.29

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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.