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Finding the Fourth Proportional to 274.50, 410.24 and 220.14

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Solution

The fourth proportional to 274.50, 410.24 and 220.14 is: 329.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.50 : 410.24 = 220.14 : x
  2. Step 2: Convert to fraction form
    274.50/410.24 = 220.14/x
  3. Step 3: Cross multiply
    274.50x = 410.24 × 220.14
  4. Step 4: Simplify right side
    274.50x = 90,309.13
  5. Step 5: Solve for x
    x = 90,309.13/274.50
  6. Step 6: Final answer
    x = 329.00

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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.