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Finding the Fourth Proportional to 195.29, 292.49 and 186.78

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Solution

The fourth proportional to 195.29, 292.49 and 186.78 is: 279.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.29 : 292.49 = 186.78 : x
  2. Step 2: Convert to fraction form
    195.29/292.49 = 186.78/x
  3. Step 3: Cross multiply
    195.29x = 292.49 × 186.78
  4. Step 4: Simplify right side
    195.29x = 54,631.28
  5. Step 5: Solve for x
    x = 54,631.28/195.29
  6. Step 6: Final answer
    x = 279.74

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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.