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Finding the Fourth Proportional to 227.12, 339.42 and 166.40

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Solution

The fourth proportional to 227.12, 339.42 and 166.40 is: 248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.12 : 339.42 = 166.40 : x
  2. Step 2: Convert to fraction form
    227.12/339.42 = 166.40/x
  3. Step 3: Cross multiply
    227.12x = 339.42 × 166.40
  4. Step 4: Simplify right side
    227.12x = 56,479.49
  5. Step 5: Solve for x
    x = 56,479.49/227.12
  6. Step 6: Final answer
    x = 248.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.