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Finding the Fourth Proportional to 225.80, 340.24 and 186.11

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Solution

The fourth proportional to 225.80, 340.24 and 186.11 is: 280.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.80 : 340.24 = 186.11 : x
  2. Step 2: Convert to fraction form
    225.80/340.24 = 186.11/x
  3. Step 3: Cross multiply
    225.80x = 340.24 × 186.11
  4. Step 4: Simplify right side
    225.80x = 63,322.07
  5. Step 5: Solve for x
    x = 63,322.07/225.80
  6. Step 6: Final answer
    x = 280.43

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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.