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Finding the Fourth Proportional to 632.87, 949.37 and 194.12

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Solution

The fourth proportional to 632.87, 949.37 and 194.12 is: 291.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.87 : 949.37 = 194.12 : x
  2. Step 2: Convert to fraction form
    632.87/949.37 = 194.12/x
  3. Step 3: Cross multiply
    632.87x = 949.37 × 194.12
  4. Step 4: Simplify right side
    632.87x = 184,285.99
  5. Step 5: Solve for x
    x = 184,285.99/632.87
  6. Step 6: Final answer
    x = 291.19

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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.