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Finding the Fourth Proportional to 344.85, 475.62 and 226.70

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Solution

The fourth proportional to 344.85, 475.62 and 226.70 is: 312.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.85 : 475.62 = 226.70 : x
  2. Step 2: Convert to fraction form
    344.85/475.62 = 226.70/x
  3. Step 3: Cross multiply
    344.85x = 475.62 × 226.70
  4. Step 4: Simplify right side
    344.85x = 107,821.53
  5. Step 5: Solve for x
    x = 107,821.53/344.85
  6. Step 6: Final answer
    x = 312.66

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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.