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Finding the Fourth Proportional to 183.21, 273.32 and 177.68

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Solution

The fourth proportional to 183.21, 273.32 and 177.68 is: 265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.21 : 273.32 = 177.68 : x
  2. Step 2: Convert to fraction form
    183.21/273.32 = 177.68/x
  3. Step 3: Cross multiply
    183.21x = 273.32 × 177.68
  4. Step 4: Simplify right side
    183.21x = 48,562.61
  5. Step 5: Solve for x
    x = 48,562.61/183.21
  6. Step 6: Final answer
    x = 265.07

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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.