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Finding the Fourth Proportional to 442.25, 662.50 and 338.23

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Solution

The fourth proportional to 442.25, 662.50 and 338.23 is: 506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.25 : 662.50 = 338.23 : x
  2. Step 2: Convert to fraction form
    442.25/662.50 = 338.23/x
  3. Step 3: Cross multiply
    442.25x = 662.50 × 338.23
  4. Step 4: Simplify right side
    442.25x = 224,077.38
  5. Step 5: Solve for x
    x = 224,077.38/442.25
  6. Step 6: Final answer
    x = 506.68

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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.