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Finding the Fourth Proportional to 226.98, 340.71 and 172.29

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Solution

The fourth proportional to 226.98, 340.71 and 172.29 is: 258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.98 : 340.71 = 172.29 : x
  2. Step 2: Convert to fraction form
    226.98/340.71 = 172.29/x
  3. Step 3: Cross multiply
    226.98x = 340.71 × 172.29
  4. Step 4: Simplify right side
    226.98x = 58,700.93
  5. Step 5: Solve for x
    x = 58,700.93/226.98
  6. Step 6: Final answer
    x = 258.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.