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Finding the Fourth Proportional to 252.36, 347.64 and 243.48

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Solution

The fourth proportional to 252.36, 347.64 and 243.48 is: 335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.36 : 347.64 = 243.48 : x
  2. Step 2: Convert to fraction form
    252.36/347.64 = 243.48/x
  3. Step 3: Cross multiply
    252.36x = 347.64 × 243.48
  4. Step 4: Simplify right side
    252.36x = 84,643.39
  5. Step 5: Solve for x
    x = 84,643.39/252.36
  6. Step 6: Final answer
    x = 335.41

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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.