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Finding the Fourth Proportional to 423.13, 634.77 and 195.13

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Solution

The fourth proportional to 423.13, 634.77 and 195.13 is: 292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.13 : 634.77 = 195.13 : x
  2. Step 2: Convert to fraction form
    423.13/634.77 = 195.13/x
  3. Step 3: Cross multiply
    423.13x = 634.77 × 195.13
  4. Step 4: Simplify right side
    423.13x = 123,859.01
  5. Step 5: Solve for x
    x = 123,859.01/423.13
  6. Step 6: Final answer
    x = 292.72

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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.