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Finding the Fourth Proportional to 196.90, 295.42 and 88.78

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Solution

The fourth proportional to 196.90, 295.42 and 88.78 is: 133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.90 : 295.42 = 88.78 : x
  2. Step 2: Convert to fraction form
    196.90/295.42 = 88.78/x
  3. Step 3: Cross multiply
    196.90x = 295.42 × 88.78
  4. Step 4: Simplify right side
    196.90x = 26,227.39
  5. Step 5: Solve for x
    x = 26,227.39/196.90
  6. Step 6: Final answer
    x = 133.20

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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.