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Finding the Fourth Proportional to 197.14, 271.80 and 148.12

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Solution

The fourth proportional to 197.14, 271.80 and 148.12 is: 204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.14 : 271.80 = 148.12 : x
  2. Step 2: Convert to fraction form
    197.14/271.80 = 148.12/x
  3. Step 3: Cross multiply
    197.14x = 271.80 × 148.12
  4. Step 4: Simplify right side
    197.14x = 40,259.02
  5. Step 5: Solve for x
    x = 40,259.02/197.14
  6. Step 6: Final answer
    x = 204.22

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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.