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Finding the Fourth Proportional to 196.48, 296 and 153.92

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Solution

The fourth proportional to 196.48, 296 and 153.92 is: 231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.48 : 296 = 153.92 : x
  2. Step 2: Convert to fraction form
    196.48/296 = 153.92/x
  3. Step 3: Cross multiply
    196.48x = 296 × 153.92
  4. Step 4: Simplify right side
    196.48x = 45,560.32
  5. Step 5: Solve for x
    x = 45,560.32/196.48
  6. Step 6: Final answer
    x = 231.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.