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Finding the Fourth Proportional to 227.62, 340.96 and 173.84

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Solution

The fourth proportional to 227.62, 340.96 and 173.84 is: 260.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.62 : 340.96 = 173.84 : x
  2. Step 2: Convert to fraction form
    227.62/340.96 = 173.84/x
  3. Step 3: Cross multiply
    227.62x = 340.96 × 173.84
  4. Step 4: Simplify right side
    227.62x = 59,272.49
  5. Step 5: Solve for x
    x = 59,272.49/227.62
  6. Step 6: Final answer
    x = 260.40

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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.