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Finding the Fourth Proportional to 195.38, 269.85 and 158.72

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Solution

The fourth proportional to 195.38, 269.85 and 158.72 is: 219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.38 : 269.85 = 158.72 : x
  2. Step 2: Convert to fraction form
    195.38/269.85 = 158.72/x
  3. Step 3: Cross multiply
    195.38x = 269.85 × 158.72
  4. Step 4: Simplify right side
    195.38x = 42,831.27
  5. Step 5: Solve for x
    x = 42,831.27/195.38
  6. Step 6: Final answer
    x = 219.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.