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Finding the Fourth Proportional to 229.61, 344.00 and 204.50

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Solution

The fourth proportional to 229.61, 344.00 and 204.50 is: 306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.61 : 344.00 = 204.50 : x
  2. Step 2: Convert to fraction form
    229.61/344.00 = 204.50/x
  3. Step 3: Cross multiply
    229.61x = 344.00 × 204.50
  4. Step 4: Simplify right side
    229.61x = 70,346.79
  5. Step 5: Solve for x
    x = 70,346.79/229.61
  6. Step 6: Final answer
    x = 306.38

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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.