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Finding the Fourth Proportional to 435.62, 653.46 and 252.96

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Solution

The fourth proportional to 435.62, 653.46 and 252.96 is: 379.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.62 : 653.46 = 252.96 : x
  2. Step 2: Convert to fraction form
    435.62/653.46 = 252.96/x
  3. Step 3: Cross multiply
    435.62x = 653.46 × 252.96
  4. Step 4: Simplify right side
    435.62x = 165,299.24
  5. Step 5: Solve for x
    x = 165,299.24/435.62
  6. Step 6: Final answer
    x = 379.46

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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.