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Finding the Fourth Proportional to 240.05, 360.38 and 204.21

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Solution

The fourth proportional to 240.05, 360.38 and 204.21 is: 306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.05 : 360.38 = 204.21 : x
  2. Step 2: Convert to fraction form
    240.05/360.38 = 204.21/x
  3. Step 3: Cross multiply
    240.05x = 360.38 × 204.21
  4. Step 4: Simplify right side
    240.05x = 73,593.20
  5. Step 5: Solve for x
    x = 73,593.20/240.05
  6. Step 6: Final answer
    x = 306.57

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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.