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Finding the Fourth Proportional to 195.91, 292.15 and 185.13

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Solution

The fourth proportional to 195.91, 292.15 and 185.13 is: 276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.91 : 292.15 = 185.13 : x
  2. Step 2: Convert to fraction form
    195.91/292.15 = 185.13/x
  3. Step 3: Cross multiply
    195.91x = 292.15 × 185.13
  4. Step 4: Simplify right side
    195.91x = 54,085.96
  5. Step 5: Solve for x
    x = 54,085.96/195.91
  6. Step 6: Final answer
    x = 276.08

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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.