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Finding the Fourth Proportional to 274.49, 410.76 and 220.00

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Solution

The fourth proportional to 274.49, 410.76 and 220.00 is: 329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.49 : 410.76 = 220.00 : x
  2. Step 2: Convert to fraction form
    274.49/410.76 = 220.00/x
  3. Step 3: Cross multiply
    274.49x = 410.76 × 220.00
  4. Step 4: Simplify right side
    274.49x = 90,365.77
  5. Step 5: Solve for x
    x = 90,365.77/274.49
  6. Step 6: Final answer
    x = 329.21

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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.