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Finding the Fourth Proportional to 196.57, 294.89 and 147.90

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Solution

The fourth proportional to 196.57, 294.89 and 147.90 is: 221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.57 : 294.89 = 147.90 : x
  2. Step 2: Convert to fraction form
    196.57/294.89 = 147.90/x
  3. Step 3: Cross multiply
    196.57x = 294.89 × 147.90
  4. Step 4: Simplify right side
    196.57x = 43,614.23
  5. Step 5: Solve for x
    x = 43,614.23/196.57
  6. Step 6: Final answer
    x = 221.88

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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.