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Finding the Fourth Proportional to 196.88, 270.46 and 178.52

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Solution

The fourth proportional to 196.88, 270.46 and 178.52 is: 245.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.88 : 270.46 = 178.52 : x
  2. Step 2: Convert to fraction form
    196.88/270.46 = 178.52/x
  3. Step 3: Cross multiply
    196.88x = 270.46 × 178.52
  4. Step 4: Simplify right side
    196.88x = 48,282.52
  5. Step 5: Solve for x
    x = 48,282.52/196.88
  6. Step 6: Final answer
    x = 245.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.