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Finding the Fourth Proportional to 435.09, 652.97 and 204

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Solution

The fourth proportional to 435.09, 652.97 and 204 is: 306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.09 : 652.97 = 204 : x
  2. Step 2: Convert to fraction form
    435.09/652.97 = 204/x
  3. Step 3: Cross multiply
    435.09x = 652.97 × 204
  4. Step 4: Simplify right side
    435.09x = 133,204.86
  5. Step 5: Solve for x
    x = 133,204.86/435.09
  6. Step 6: Final answer
    x = 306.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.