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Finding the Fourth Proportional to 185.95, 278.96 and 76.29

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Solution

The fourth proportional to 185.95, 278.96 and 76.29 is: 114.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.95 : 278.96 = 76.29 : x
  2. Step 2: Convert to fraction form
    185.95/278.96 = 76.29/x
  3. Step 3: Cross multiply
    185.95x = 278.96 × 76.29
  4. Step 4: Simplify right side
    185.95x = 21,281.86
  5. Step 5: Solve for x
    x = 21,281.86/185.95
  6. Step 6: Final answer
    x = 114.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.