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Finding the Fourth Proportional to 229.71, 343.23 and 173.75

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Solution

The fourth proportional to 229.71, 343.23 and 173.75 is: 259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.71 : 343.23 = 173.75 : x
  2. Step 2: Convert to fraction form
    229.71/343.23 = 173.75/x
  3. Step 3: Cross multiply
    229.71x = 343.23 × 173.75
  4. Step 4: Simplify right side
    229.71x = 59,636.21
  5. Step 5: Solve for x
    x = 59,636.21/229.71
  6. Step 6: Final answer
    x = 259.62

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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.