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Finding the Fourth Proportional to 196.24, 292.72 and 170.80

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Solution

The fourth proportional to 196.24, 292.72 and 170.80 is: 254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.24 : 292.72 = 170.80 : x
  2. Step 2: Convert to fraction form
    196.24/292.72 = 170.80/x
  3. Step 3: Cross multiply
    196.24x = 292.72 × 170.80
  4. Step 4: Simplify right side
    196.24x = 49,996.58
  5. Step 5: Solve for x
    x = 49,996.58/196.24
  6. Step 6: Final answer
    x = 254.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.