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Finding the Fourth Proportional to 442.62, 664.14 and 237.36

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Solution

The fourth proportional to 442.62, 664.14 and 237.36 is: 356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.62 : 664.14 = 237.36 : x
  2. Step 2: Convert to fraction form
    442.62/664.14 = 237.36/x
  3. Step 3: Cross multiply
    442.62x = 664.14 × 237.36
  4. Step 4: Simplify right side
    442.62x = 157,640.27
  5. Step 5: Solve for x
    x = 157,640.27/442.62
  6. Step 6: Final answer
    x = 356.15

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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.