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Finding the Fourth Proportional to 273.17, 374.81 and 266.27

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Solution

The fourth proportional to 273.17, 374.81 and 266.27 is: 365.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.17 : 374.81 = 266.27 : x
  2. Step 2: Convert to fraction form
    273.17/374.81 = 266.27/x
  3. Step 3: Cross multiply
    273.17x = 374.81 × 266.27
  4. Step 4: Simplify right side
    273.17x = 99,800.66
  5. Step 5: Solve for x
    x = 99,800.66/273.17
  6. Step 6: Final answer
    x = 365.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.