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Finding the Fourth Proportional to 275.45, 411.26 and 241.43

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Solution

The fourth proportional to 275.45, 411.26 and 241.43 is: 360.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.45 : 411.26 = 241.43 : x
  2. Step 2: Convert to fraction form
    275.45/411.26 = 241.43/x
  3. Step 3: Cross multiply
    275.45x = 411.26 × 241.43
  4. Step 4: Simplify right side
    275.45x = 99,290.50
  5. Step 5: Solve for x
    x = 99,290.50/275.45
  6. Step 6: Final answer
    x = 360.47

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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.