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Finding the Fourth Proportional to 435.12, 652.91 and 204.22

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Solution

The fourth proportional to 435.12, 652.91 and 204.22 is: 306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.12 : 652.91 = 204.22 : x
  2. Step 2: Convert to fraction form
    435.12/652.91 = 204.22/x
  3. Step 3: Cross multiply
    435.12x = 652.91 × 204.22
  4. Step 4: Simplify right side
    435.12x = 133,338.22
  5. Step 5: Solve for x
    x = 133,338.22/435.12
  6. Step 6: Final answer
    x = 306.44

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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.