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Finding the Fourth Proportional to 234.43, 349.75 and 226.02

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Solution

The fourth proportional to 234.43, 349.75 and 226.02 is: 337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.43 : 349.75 = 226.02 : x
  2. Step 2: Convert to fraction form
    234.43/349.75 = 226.02/x
  3. Step 3: Cross multiply
    234.43x = 349.75 × 226.02
  4. Step 4: Simplify right side
    234.43x = 79,050.50
  5. Step 5: Solve for x
    x = 79,050.50/234.43
  6. Step 6: Final answer
    x = 337.20

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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.