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Finding the Fourth Proportional to 254.50, 382.67 and 234.45

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Solution

The fourth proportional to 254.50, 382.67 and 234.45 is: 352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.50 : 382.67 = 234.45 : x
  2. Step 2: Convert to fraction form
    254.50/382.67 = 234.45/x
  3. Step 3: Cross multiply
    254.50x = 382.67 × 234.45
  4. Step 4: Simplify right side
    254.50x = 89,716.98
  5. Step 5: Solve for x
    x = 89,716.98/254.50
  6. Step 6: Final answer
    x = 352.52

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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.