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Finding the Fourth Proportional to 229.50, 344.41 and 174.83

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Solution

The fourth proportional to 229.50, 344.41 and 174.83 is: 262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.50 : 344.41 = 174.83 : x
  2. Step 2: Convert to fraction form
    229.50/344.41 = 174.83/x
  3. Step 3: Cross multiply
    229.50x = 344.41 × 174.83
  4. Step 4: Simplify right side
    229.50x = 60,211.04
  5. Step 5: Solve for x
    x = 60,211.04/229.50
  6. Step 6: Final answer
    x = 262.36

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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.