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Finding the Fourth Proportional to 197.32, 271.92 and 186.52

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Solution

The fourth proportional to 197.32, 271.92 and 186.52 is: 257.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.32 : 271.92 = 186.52 : x
  2. Step 2: Convert to fraction form
    197.32/271.92 = 186.52/x
  3. Step 3: Cross multiply
    197.32x = 271.92 × 186.52
  4. Step 4: Simplify right side
    197.32x = 50,718.52
  5. Step 5: Solve for x
    x = 50,718.52/197.32
  6. Step 6: Final answer
    x = 257.04

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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.