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Finding the Fourth Proportional to 275.69, 411.10 and 273.22

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Solution

The fourth proportional to 275.69, 411.10 and 273.22 is: 407.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.69 : 411.10 = 273.22 : x
  2. Step 2: Convert to fraction form
    275.69/411.10 = 273.22/x
  3. Step 3: Cross multiply
    275.69x = 411.10 × 273.22
  4. Step 4: Simplify right side
    275.69x = 112,320.74
  5. Step 5: Solve for x
    x = 112,320.74/275.69
  6. Step 6: Final answer
    x = 407.42

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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.