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Finding the Fourth Proportional to 196.60, 295.70 and 167.80

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Solution

The fourth proportional to 196.60, 295.70 and 167.80 is: 252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.60 : 295.70 = 167.80 : x
  2. Step 2: Convert to fraction form
    196.60/295.70 = 167.80/x
  3. Step 3: Cross multiply
    196.60x = 295.70 × 167.80
  4. Step 4: Simplify right side
    196.60x = 49,618.46
  5. Step 5: Solve for x
    x = 49,618.46/196.60
  6. Step 6: Final answer
    x = 252.38

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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.