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Finding the Fourth Proportional to 279.03, 418.85 and 201.68

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Solution

The fourth proportional to 279.03, 418.85 and 201.68 is: 302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.03 : 418.85 = 201.68 : x
  2. Step 2: Convert to fraction form
    279.03/418.85 = 201.68/x
  3. Step 3: Cross multiply
    279.03x = 418.85 × 201.68
  4. Step 4: Simplify right side
    279.03x = 84,473.67
  5. Step 5: Solve for x
    x = 84,473.67/279.03
  6. Step 6: Final answer
    x = 302.74

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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.