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Finding the Fourth Proportional to 343.18, 472.98 and 226.54

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Solution

The fourth proportional to 343.18, 472.98 and 226.54 is: 312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.18 : 472.98 = 226.54 : x
  2. Step 2: Convert to fraction form
    343.18/472.98 = 226.54/x
  3. Step 3: Cross multiply
    343.18x = 472.98 × 226.54
  4. Step 4: Simplify right side
    343.18x = 107,148.89
  5. Step 5: Solve for x
    x = 107,148.89/343.18
  6. Step 6: Final answer
    x = 312.22

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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.