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Finding the Fourth Proportional to 423.80, 634.78 and 204.08

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Solution

The fourth proportional to 423.80, 634.78 and 204.08 is: 305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.80 : 634.78 = 204.08 : x
  2. Step 2: Convert to fraction form
    423.80/634.78 = 204.08/x
  3. Step 3: Cross multiply
    423.80x = 634.78 × 204.08
  4. Step 4: Simplify right side
    423.80x = 129,546.98
  5. Step 5: Solve for x
    x = 129,546.98/423.80
  6. Step 6: Final answer
    x = 305.68

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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.