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Finding the Fourth Proportional to 275.32, 409.85 and 273.70

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Solution

The fourth proportional to 275.32, 409.85 and 273.70 is: 407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.32 : 409.85 = 273.70 : x
  2. Step 2: Convert to fraction form
    275.32/409.85 = 273.70/x
  3. Step 3: Cross multiply
    275.32x = 409.85 × 273.70
  4. Step 4: Simplify right side
    275.32x = 112,175.95
  5. Step 5: Solve for x
    x = 112,175.95/275.32
  6. Step 6: Final answer
    x = 407.44

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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.