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Finding the Fourth Proportional to 185.89, 278.96 and 76.29

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Solution

The fourth proportional to 185.89, 278.96 and 76.29 is: 114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.89 : 278.96 = 76.29 : x
  2. Step 2: Convert to fraction form
    185.89/278.96 = 76.29/x
  3. Step 3: Cross multiply
    185.89x = 278.96 × 76.29
  4. Step 4: Simplify right side
    185.89x = 21,281.48
  5. Step 5: Solve for x
    x = 21,281.48/185.89
  6. Step 6: Final answer
    x = 114.49

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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.