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Finding the Fourth Proportional to 423.36, 634.50 and 204.12

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Solution

The fourth proportional to 423.36, 634.50 and 204.12 is: 305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.36 : 634.50 = 204.12 : x
  2. Step 2: Convert to fraction form
    423.36/634.50 = 204.12/x
  3. Step 3: Cross multiply
    423.36x = 634.50 × 204.12
  4. Step 4: Simplify right side
    423.36x = 129,514.14
  5. Step 5: Solve for x
    x = 129,514.14/423.36
  6. Step 6: Final answer
    x = 305.92

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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.