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Finding the Fourth Proportional to 193.90, 266.88 and 167.62

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Solution

The fourth proportional to 193.90, 266.88 and 167.62 is: 230.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.90 : 266.88 = 167.62 : x
  2. Step 2: Convert to fraction form
    193.90/266.88 = 167.62/x
  3. Step 3: Cross multiply
    193.90x = 266.88 × 167.62
  4. Step 4: Simplify right side
    193.90x = 44,734.43
  5. Step 5: Solve for x
    x = 44,734.43/193.90
  6. Step 6: Final answer
    x = 230.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.