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Finding the Fourth Proportional to 337.11, 505.49 and 212.03

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Solution

The fourth proportional to 337.11, 505.49 and 212.03 is: 317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.11 : 505.49 = 212.03 : x
  2. Step 2: Convert to fraction form
    337.11/505.49 = 212.03/x
  3. Step 3: Cross multiply
    337.11x = 505.49 × 212.03
  4. Step 4: Simplify right side
    337.11x = 107,180.84
  5. Step 5: Solve for x
    x = 107,180.84/337.11
  6. Step 6: Final answer
    x = 317.94

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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.