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Finding the Fourth Proportional to 242.23, 334.13 and 226.03

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Solution

The fourth proportional to 242.23, 334.13 and 226.03 is: 311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.23 : 334.13 = 226.03 : x
  2. Step 2: Convert to fraction form
    242.23/334.13 = 226.03/x
  3. Step 3: Cross multiply
    242.23x = 334.13 × 226.03
  4. Step 4: Simplify right side
    242.23x = 75,523.13
  5. Step 5: Solve for x
    x = 75,523.13/242.23
  6. Step 6: Final answer
    x = 311.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.