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Finding the Fourth Proportional to 186.86, 278.92 and 149.88

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Solution

The fourth proportional to 186.86, 278.92 and 149.88 is: 223.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.86 : 278.92 = 149.88 : x
  2. Step 2: Convert to fraction form
    186.86/278.92 = 149.88/x
  3. Step 3: Cross multiply
    186.86x = 278.92 × 149.88
  4. Step 4: Simplify right side
    186.86x = 41,804.53
  5. Step 5: Solve for x
    x = 41,804.53/186.86
  6. Step 6: Final answer
    x = 223.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.