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Finding the Fourth Proportional to 274.30, 378.50 and 163.78

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Solution

The fourth proportional to 274.30, 378.50 and 163.78 is: 225.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.30 : 378.50 = 163.78 : x
  2. Step 2: Convert to fraction form
    274.30/378.50 = 163.78/x
  3. Step 3: Cross multiply
    274.30x = 378.50 × 163.78
  4. Step 4: Simplify right side
    274.30x = 61,988.96
  5. Step 5: Solve for x
    x = 61,988.96/274.30
  6. Step 6: Final answer
    x = 225.99

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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.