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Finding the Fourth Proportional to 184.20, 278.39 and 181.01

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Solution

The fourth proportional to 184.20, 278.39 and 181.01 is: 273.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.20 : 278.39 = 181.01 : x
  2. Step 2: Convert to fraction form
    184.20/278.39 = 181.01/x
  3. Step 3: Cross multiply
    184.20x = 278.39 × 181.01
  4. Step 4: Simplify right side
    184.20x = 50,390.47
  5. Step 5: Solve for x
    x = 50,390.47/184.20
  6. Step 6: Final answer
    x = 273.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.