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Finding the Fourth Proportional to 436.28, 653.87 and 219.92

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Solution

The fourth proportional to 436.28, 653.87 and 219.92 is: 329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.28 : 653.87 = 219.92 : x
  2. Step 2: Convert to fraction form
    436.28/653.87 = 219.92/x
  3. Step 3: Cross multiply
    436.28x = 653.87 × 219.92
  4. Step 4: Simplify right side
    436.28x = 143,794.72
  5. Step 5: Solve for x
    x = 143,794.72/436.28
  6. Step 6: Final answer
    x = 329.60

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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.