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Finding the Fourth Proportional to 197.91, 295.25 and 187.11

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Solution

The fourth proportional to 197.91, 295.25 and 187.11 is: 279.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.91 : 295.25 = 187.11 : x
  2. Step 2: Convert to fraction form
    197.91/295.25 = 187.11/x
  3. Step 3: Cross multiply
    197.91x = 295.25 × 187.11
  4. Step 4: Simplify right side
    197.91x = 55,243.29
  5. Step 5: Solve for x
    x = 55,243.29/197.91
  6. Step 6: Final answer
    x = 279.13

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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.