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Finding the Fourth Proportional to 268.11, 399.90 and 225.05

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Solution

The fourth proportional to 268.11, 399.90 and 225.05 is: 335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.11 : 399.90 = 225.05 : x
  2. Step 2: Convert to fraction form
    268.11/399.90 = 225.05/x
  3. Step 3: Cross multiply
    268.11x = 399.90 × 225.05
  4. Step 4: Simplify right side
    268.11x = 89,996.34
  5. Step 5: Solve for x
    x = 89,996.34/268.11
  6. Step 6: Final answer
    x = 335.67

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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.