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Finding the Fourth Proportional to 193.93, 291.71 and 167.20

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Solution

The fourth proportional to 193.93, 291.71 and 167.20 is: 251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.93 : 291.71 = 167.20 : x
  2. Step 2: Convert to fraction form
    193.93/291.71 = 167.20/x
  3. Step 3: Cross multiply
    193.93x = 291.71 × 167.20
  4. Step 4: Simplify right side
    193.93x = 48,773.91
  5. Step 5: Solve for x
    x = 48,773.91/193.93
  6. Step 6: Final answer
    x = 251.50

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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.