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Finding the Fourth Proportional to 197, 271.71 and 147.80

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Solution

The fourth proportional to 197, 271.71 and 147.80 is: 203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197 : 271.71 = 147.80 : x
  2. Step 2: Convert to fraction form
    197/271.71 = 147.80/x
  3. Step 3: Cross multiply
    197x = 271.71 × 147.80
  4. Step 4: Simplify right side
    197x = 40,158.74
  5. Step 5: Solve for x
    x = 40,158.74/197
  6. Step 6: Final answer
    x = 203.85

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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.