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Finding the Fourth Proportional to 253.09, 380.04 and 229.60

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Solution

The fourth proportional to 253.09, 380.04 and 229.60 is: 344.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.09 : 380.04 = 229.60 : x
  2. Step 2: Convert to fraction form
    253.09/380.04 = 229.60/x
  3. Step 3: Cross multiply
    253.09x = 380.04 × 229.60
  4. Step 4: Simplify right side
    253.09x = 87,257.18
  5. Step 5: Solve for x
    x = 87,257.18/253.09
  6. Step 6: Final answer
    x = 344.77

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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.