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Finding the Fourth Proportional to 435.92, 654.24 and 219.52

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Solution

The fourth proportional to 435.92, 654.24 and 219.52 is: 329.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.92 : 654.24 = 219.52 : x
  2. Step 2: Convert to fraction form
    435.92/654.24 = 219.52/x
  3. Step 3: Cross multiply
    435.92x = 654.24 × 219.52
  4. Step 4: Simplify right side
    435.92x = 143,618.76
  5. Step 5: Solve for x
    x = 143,618.76/435.92
  6. Step 6: Final answer
    x = 329.46

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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.