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Finding the Fourth Proportional to 183.47, 273.88 and 181.91

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Solution

The fourth proportional to 183.47, 273.88 and 181.91 is: 271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.47 : 273.88 = 181.91 : x
  2. Step 2: Convert to fraction form
    183.47/273.88 = 181.91/x
  3. Step 3: Cross multiply
    183.47x = 273.88 × 181.91
  4. Step 4: Simplify right side
    183.47x = 49,822.42
  5. Step 5: Solve for x
    x = 49,822.42/183.47
  6. Step 6: Final answer
    x = 271.56

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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.