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Finding the Fourth Proportional to 337.49, 505.15 and 200.20

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Solution

The fourth proportional to 337.49, 505.15 and 200.20 is: 299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.49 : 505.15 = 200.20 : x
  2. Step 2: Convert to fraction form
    337.49/505.15 = 200.20/x
  3. Step 3: Cross multiply
    337.49x = 505.15 × 200.20
  4. Step 4: Simplify right side
    337.49x = 101,131.03
  5. Step 5: Solve for x
    x = 101,131.03/337.49
  6. Step 6: Final answer
    x = 299.66

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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.