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Finding the Fourth Proportional to 274.80, 409.92 and 247.44

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Solution

The fourth proportional to 274.80, 409.92 and 247.44 is: 369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.80 : 409.92 = 247.44 : x
  2. Step 2: Convert to fraction form
    274.80/409.92 = 247.44/x
  3. Step 3: Cross multiply
    274.80x = 409.92 × 247.44
  4. Step 4: Simplify right side
    274.80x = 101,430.60
  5. Step 5: Solve for x
    x = 101,430.60/274.80
  6. Step 6: Final answer
    x = 369.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.