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Finding the Fourth Proportional to 193.68, 291.33 and 166.95

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Solution

The fourth proportional to 193.68, 291.33 and 166.95 is: 251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.68 : 291.33 = 166.95 : x
  2. Step 2: Convert to fraction form
    193.68/291.33 = 166.95/x
  3. Step 3: Cross multiply
    193.68x = 291.33 × 166.95
  4. Step 4: Simplify right side
    193.68x = 48,637.54
  5. Step 5: Solve for x
    x = 48,637.54/193.68
  6. Step 6: Final answer
    x = 251.12

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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.