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Finding the Fourth Proportional to 442.23, 660.80 and 337.53

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Solution

The fourth proportional to 442.23, 660.80 and 337.53 is: 504.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.23 : 660.80 = 337.53 : x
  2. Step 2: Convert to fraction form
    442.23/660.80 = 337.53/x
  3. Step 3: Cross multiply
    442.23x = 660.80 × 337.53
  4. Step 4: Simplify right side
    442.23x = 223,042.20
  5. Step 5: Solve for x
    x = 223,042.20/442.23
  6. Step 6: Final answer
    x = 504.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.