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Finding the Fourth Proportional to 252.78, 347.94 and 233.34

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Solution

The fourth proportional to 252.78, 347.94 and 233.34 is: 321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.78 : 347.94 = 233.34 : x
  2. Step 2: Convert to fraction form
    252.78/347.94 = 233.34/x
  3. Step 3: Cross multiply
    252.78x = 347.94 × 233.34
  4. Step 4: Simplify right side
    252.78x = 81,188.32
  5. Step 5: Solve for x
    x = 81,188.32/252.78
  6. Step 6: Final answer
    x = 321.18

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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.