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Finding the Fourth Proportional to 275.85, 410.81 and 274.28

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Solution

The fourth proportional to 275.85, 410.81 and 274.28 is: 408.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.85 : 410.81 = 274.28 : x
  2. Step 2: Convert to fraction form
    275.85/410.81 = 274.28/x
  3. Step 3: Cross multiply
    275.85x = 410.81 × 274.28
  4. Step 4: Simplify right side
    275.85x = 112,673.54
  5. Step 5: Solve for x
    x = 112,673.54/275.85
  6. Step 6: Final answer
    x = 408.46

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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.