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Finding the Fourth Proportional to 252, 378.42 and 233.06

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Solution

The fourth proportional to 252, 378.42 and 233.06 is: 349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    252 : 378.42 = 233.06 : x
  2. Step 2: Convert to fraction form
    252/378.42 = 233.06/x
  3. Step 3: Cross multiply
    252x = 378.42 × 233.06
  4. Step 4: Simplify right side
    252x = 88,195.24
  5. Step 5: Solve for x
    x = 88,195.24/252
  6. Step 6: Final answer
    x = 349.98

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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.