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Finding the Fourth Proportional to 442.36, 662.38 and 237.03

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Solution

The fourth proportional to 442.36, 662.38 and 237.03 is: 354.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.36 : 662.38 = 237.03 : x
  2. Step 2: Convert to fraction form
    442.36/662.38 = 237.03/x
  3. Step 3: Cross multiply
    442.36x = 662.38 × 237.03
  4. Step 4: Simplify right side
    442.36x = 157,000.85
  5. Step 5: Solve for x
    x = 157,000.85/442.36
  6. Step 6: Final answer
    x = 354.92

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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.