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Finding the Fourth Proportional to 416.28, 623.30 and 220.87

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Solution

The fourth proportional to 416.28, 623.30 and 220.87 is: 330.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.28 : 623.30 = 220.87 : x
  2. Step 2: Convert to fraction form
    416.28/623.30 = 220.87/x
  3. Step 3: Cross multiply
    416.28x = 623.30 × 220.87
  4. Step 4: Simplify right side
    416.28x = 137,668.27
  5. Step 5: Solve for x
    x = 137,668.27/416.28
  6. Step 6: Final answer
    x = 330.71

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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.