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Finding the Fourth Proportional to 197.54, 295.17 and 136.18

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Solution

The fourth proportional to 197.54, 295.17 and 136.18 is: 203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.54 : 295.17 = 136.18 : x
  2. Step 2: Convert to fraction form
    197.54/295.17 = 136.18/x
  3. Step 3: Cross multiply
    197.54x = 295.17 × 136.18
  4. Step 4: Simplify right side
    197.54x = 40,196.49
  5. Step 5: Solve for x
    x = 40,196.49/197.54
  6. Step 6: Final answer
    x = 203.49

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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.