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Finding the Fourth Proportional to 342.68, 473.09 and 226.45

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Solution

The fourth proportional to 342.68, 473.09 and 226.45 is: 312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.68 : 473.09 = 226.45 : x
  2. Step 2: Convert to fraction form
    342.68/473.09 = 226.45/x
  3. Step 3: Cross multiply
    342.68x = 473.09 × 226.45
  4. Step 4: Simplify right side
    342.68x = 107,128.87
  5. Step 5: Solve for x
    x = 107,128.87/342.68
  6. Step 6: Final answer
    x = 312.62

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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.