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Finding the Fourth Proportional to 185.96, 278.75 and 125.11

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Solution

The fourth proportional to 185.96, 278.75 and 125.11 is: 187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.96 : 278.75 = 125.11 : x
  2. Step 2: Convert to fraction form
    185.96/278.75 = 125.11/x
  3. Step 3: Cross multiply
    185.96x = 278.75 × 125.11
  4. Step 4: Simplify right side
    185.96x = 34,875.07
  5. Step 5: Solve for x
    x = 34,875.07/185.96
  6. Step 6: Final answer
    x = 187.54

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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.