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Finding the Fourth Proportional to 253.09, 347.39 and 224.84

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Solution

The fourth proportional to 253.09, 347.39 and 224.84 is: 308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.09 : 347.39 = 224.84 : x
  2. Step 2: Convert to fraction form
    253.09/347.39 = 224.84/x
  3. Step 3: Cross multiply
    253.09x = 347.39 × 224.84
  4. Step 4: Simplify right side
    253.09x = 78,105.43
  5. Step 5: Solve for x
    x = 78,105.43/253.09
  6. Step 6: Final answer
    x = 308.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.