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Finding the Fourth Proportional to 240.94, 360.87 and 204.31

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Solution

The fourth proportional to 240.94, 360.87 and 204.31 is: 306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.94 : 360.87 = 204.31 : x
  2. Step 2: Convert to fraction form
    240.94/360.87 = 204.31/x
  3. Step 3: Cross multiply
    240.94x = 360.87 × 204.31
  4. Step 4: Simplify right side
    240.94x = 73,729.35
  5. Step 5: Solve for x
    x = 73,729.35/240.94
  6. Step 6: Final answer
    x = 306.01

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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.