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Finding the Fourth Proportional to 227.66, 340.88 and 187.26

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Solution

The fourth proportional to 227.66, 340.88 and 187.26 is: 280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.66 : 340.88 = 187.26 : x
  2. Step 2: Convert to fraction form
    227.66/340.88 = 187.26/x
  3. Step 3: Cross multiply
    227.66x = 340.88 × 187.26
  4. Step 4: Simplify right side
    227.66x = 63,833.19
  5. Step 5: Solve for x
    x = 63,833.19/227.66
  6. Step 6: Final answer
    x = 280.39

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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.