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Finding the Fourth Proportional to 195.76, 292.96 and 188.20

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Solution

The fourth proportional to 195.76, 292.96 and 188.20 is: 281.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.76 : 292.96 = 188.20 : x
  2. Step 2: Convert to fraction form
    195.76/292.96 = 188.20/x
  3. Step 3: Cross multiply
    195.76x = 292.96 × 188.20
  4. Step 4: Simplify right side
    195.76x = 55,135.07
  5. Step 5: Solve for x
    x = 55,135.07/195.76
  6. Step 6: Final answer
    x = 281.65

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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.