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Finding the Fourth Proportional to 442.11, 662.94 and 149.52

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Solution

The fourth proportional to 442.11, 662.94 and 149.52 is: 224.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.11 : 662.94 = 149.52 : x
  2. Step 2: Convert to fraction form
    442.11/662.94 = 149.52/x
  3. Step 3: Cross multiply
    442.11x = 662.94 × 149.52
  4. Step 4: Simplify right side
    442.11x = 99,122.79
  5. Step 5: Solve for x
    x = 99,122.79/442.11
  6. Step 6: Final answer
    x = 224.20

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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.