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Finding the Fourth Proportional to 275.72, 411.14 and 273.28

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Solution

The fourth proportional to 275.72, 411.14 and 273.28 is: 407.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.72 : 411.14 = 273.28 : x
  2. Step 2: Convert to fraction form
    275.72/411.14 = 273.28/x
  3. Step 3: Cross multiply
    275.72x = 411.14 × 273.28
  4. Step 4: Simplify right side
    275.72x = 112,356.34
  5. Step 5: Solve for x
    x = 112,356.34/275.72
  6. Step 6: Final answer
    x = 407.50

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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.