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Finding the Fourth Proportional to 197.59, 296.11 and 143.32

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Solution

The fourth proportional to 197.59, 296.11 and 143.32 is: 214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.59 : 296.11 = 143.32 : x
  2. Step 2: Convert to fraction form
    197.59/296.11 = 143.32/x
  3. Step 3: Cross multiply
    197.59x = 296.11 × 143.32
  4. Step 4: Simplify right side
    197.59x = 42,438.49
  5. Step 5: Solve for x
    x = 42,438.49/197.59
  6. Step 6: Final answer
    x = 214.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.