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Finding the Fourth Proportional to 342.89, 473.33 and 226.73

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Solution

The fourth proportional to 342.89, 473.33 and 226.73 is: 312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.89 : 473.33 = 226.73 : x
  2. Step 2: Convert to fraction form
    342.89/473.33 = 226.73/x
  3. Step 3: Cross multiply
    342.89x = 473.33 × 226.73
  4. Step 4: Simplify right side
    342.89x = 107,316.98
  5. Step 5: Solve for x
    x = 107,316.98/342.89
  6. Step 6: Final answer
    x = 312.98

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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.