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Finding the Fourth Proportional to 275.37, 410.45 and 273.24

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Solution

The fourth proportional to 275.37, 410.45 and 273.24 is: 407.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.37 : 410.45 = 273.24 : x
  2. Step 2: Convert to fraction form
    275.37/410.45 = 273.24/x
  3. Step 3: Cross multiply
    275.37x = 410.45 × 273.24
  4. Step 4: Simplify right side
    275.37x = 112,149.99
  5. Step 5: Solve for x
    x = 112,149.99/275.37
  6. Step 6: Final answer
    x = 407.27

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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.