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Finding the Fourth Proportional to 226.83, 340.38 and 172.47

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Solution

The fourth proportional to 226.83, 340.38 and 172.47 is: 258.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.83 : 340.38 = 172.47 : x
  2. Step 2: Convert to fraction form
    226.83/340.38 = 172.47/x
  3. Step 3: Cross multiply
    226.83x = 340.38 × 172.47
  4. Step 4: Simplify right side
    226.83x = 58,705.34
  5. Step 5: Solve for x
    x = 58,705.34/226.83
  6. Step 6: Final answer
    x = 258.81

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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.