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Finding the Fourth Proportional to 194.53, 291.78 and 71.21

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Solution

The fourth proportional to 194.53, 291.78 and 71.21 is: 106.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.53 : 291.78 = 71.21 : x
  2. Step 2: Convert to fraction form
    194.53/291.78 = 71.21/x
  3. Step 3: Cross multiply
    194.53x = 291.78 × 71.21
  4. Step 4: Simplify right side
    194.53x = 20,778.38
  5. Step 5: Solve for x
    x = 20,778.38/194.53
  6. Step 6: Final answer
    x = 106.81

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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.