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Finding the Fourth Proportional to 186.90, 278.25 and 186

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Solution

The fourth proportional to 186.90, 278.25 and 186 is: 276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.90 : 278.25 = 186 : x
  2. Step 2: Convert to fraction form
    186.90/278.25 = 186/x
  3. Step 3: Cross multiply
    186.90x = 278.25 × 186
  4. Step 4: Simplify right side
    186.90x = 51,754.97
  5. Step 5: Solve for x
    x = 51,754.97/186.90
  6. Step 6: Final answer
    x = 276.91

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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.