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Finding the Fourth Proportional to 638.90, 958.01 and 194.11

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Solution

The fourth proportional to 638.90, 958.01 and 194.11 is: 291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.90 : 958.01 = 194.11 : x
  2. Step 2: Convert to fraction form
    638.90/958.01 = 194.11/x
  3. Step 3: Cross multiply
    638.90x = 958.01 × 194.11
  4. Step 4: Simplify right side
    638.90x = 185,954.05
  5. Step 5: Solve for x
    x = 185,954.05/638.90
  6. Step 6: Final answer
    x = 291.05

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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.