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Finding the Fourth Proportional to 279.60, 418.65 and 181.81

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Solution

The fourth proportional to 279.60, 418.65 and 181.81 is: 272.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.60 : 418.65 = 181.81 : x
  2. Step 2: Convert to fraction form
    279.60/418.65 = 181.81/x
  3. Step 3: Cross multiply
    279.60x = 418.65 × 181.81
  4. Step 4: Simplify right side
    279.60x = 76,115.62
  5. Step 5: Solve for x
    x = 76,115.62/279.60
  6. Step 6: Final answer
    x = 272.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.