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Finding the Fourth Proportional to 194.53, 291.94 and 171.74

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Solution

The fourth proportional to 194.53, 291.94 and 171.74 is: 257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.53 : 291.94 = 171.74 : x
  2. Step 2: Convert to fraction form
    194.53/291.94 = 171.74/x
  3. Step 3: Cross multiply
    194.53x = 291.94 × 171.74
  4. Step 4: Simplify right side
    194.53x = 50,138.08
  5. Step 5: Solve for x
    x = 50,138.08/194.53
  6. Step 6: Final answer
    x = 257.74

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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.