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Finding the Fourth Proportional to 187.78, 260.93 and 185.49

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Solution

The fourth proportional to 187.78, 260.93 and 185.49 is: 257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.78 : 260.93 = 185.49 : x
  2. Step 2: Convert to fraction form
    187.78/260.93 = 185.49/x
  3. Step 3: Cross multiply
    187.78x = 260.93 × 185.49
  4. Step 4: Simplify right side
    187.78x = 48,399.91
  5. Step 5: Solve for x
    x = 48,399.91/187.78
  6. Step 6: Final answer
    x = 257.75

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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.