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Finding the Fourth Proportional to 338.11, 507.28 and 199.37

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Solution

The fourth proportional to 338.11, 507.28 and 199.37 is: 299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.11 : 507.28 = 199.37 : x
  2. Step 2: Convert to fraction form
    338.11/507.28 = 199.37/x
  3. Step 3: Cross multiply
    338.11x = 507.28 × 199.37
  4. Step 4: Simplify right side
    338.11x = 101,136.41
  5. Step 5: Solve for x
    x = 101,136.41/338.11
  6. Step 6: Final answer
    x = 299.12

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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.