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Finding the Fourth Proportional to 250.98, 378.42 and 233.16

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Solution

The fourth proportional to 250.98, 378.42 and 233.16 is: 351.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.98 : 378.42 = 233.16 : x
  2. Step 2: Convert to fraction form
    250.98/378.42 = 233.16/x
  3. Step 3: Cross multiply
    250.98x = 378.42 × 233.16
  4. Step 4: Simplify right side
    250.98x = 88,232.41
  5. Step 5: Solve for x
    x = 88,232.41/250.98
  6. Step 6: Final answer
    x = 351.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.