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Finding the Fourth Proportional to 186.31, 278.97 and 94.78

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Solution

The fourth proportional to 186.31, 278.97 and 94.78 is: 141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.31 : 278.97 = 94.78 : x
  2. Step 2: Convert to fraction form
    186.31/278.97 = 94.78/x
  3. Step 3: Cross multiply
    186.31x = 278.97 × 94.78
  4. Step 4: Simplify right side
    186.31x = 26,440.78
  5. Step 5: Solve for x
    x = 26,440.78/186.31
  6. Step 6: Final answer
    x = 141.92

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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.