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Finding the Fourth Proportional to 342.87, 472.82 and 226.47

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Solution

The fourth proportional to 342.87, 472.82 and 226.47 is: 312.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.87 : 472.82 = 226.47 : x
  2. Step 2: Convert to fraction form
    342.87/472.82 = 226.47/x
  3. Step 3: Cross multiply
    342.87x = 472.82 × 226.47
  4. Step 4: Simplify right side
    342.87x = 107,078.41
  5. Step 5: Solve for x
    x = 107,078.41/342.87
  6. Step 6: Final answer
    x = 312.30

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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.