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Finding the Fourth Proportional to 226.18, 340.81 and 186.49

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Solution

The fourth proportional to 226.18, 340.81 and 186.49 is: 281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.18 : 340.81 = 186.49 : x
  2. Step 2: Convert to fraction form
    226.18/340.81 = 186.49/x
  3. Step 3: Cross multiply
    226.18x = 340.81 × 186.49
  4. Step 4: Simplify right side
    226.18x = 63,557.66
  5. Step 5: Solve for x
    x = 63,557.66/226.18
  6. Step 6: Final answer
    x = 281.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.