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Finding the Fourth Proportional to 252.54, 347.75 and 224.13

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Solution

The fourth proportional to 252.54, 347.75 and 224.13 is: 308.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.54 : 347.75 = 224.13 : x
  2. Step 2: Convert to fraction form
    252.54/347.75 = 224.13/x
  3. Step 3: Cross multiply
    252.54x = 347.75 × 224.13
  4. Step 4: Simplify right side
    252.54x = 77,942.23
  5. Step 5: Solve for x
    x = 77,942.23/252.54
  6. Step 6: Final answer
    x = 308.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.