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Finding the Fourth Proportional to 226.93, 340.19 and 188.66

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Solution

The fourth proportional to 226.93, 340.19 and 188.66 is: 282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.93 : 340.19 = 188.66 : x
  2. Step 2: Convert to fraction form
    226.93/340.19 = 188.66/x
  3. Step 3: Cross multiply
    226.93x = 340.19 × 188.66
  4. Step 4: Simplify right side
    226.93x = 64,180.25
  5. Step 5: Solve for x
    x = 64,180.25/226.93
  6. Step 6: Final answer
    x = 282.82

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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.