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Finding the Fourth Proportional to 240.08, 360.05 and 201.81

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Solution

The fourth proportional to 240.08, 360.05 and 201.81 is: 302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.08 : 360.05 = 201.81 : x
  2. Step 2: Convert to fraction form
    240.08/360.05 = 201.81/x
  3. Step 3: Cross multiply
    240.08x = 360.05 × 201.81
  4. Step 4: Simplify right side
    240.08x = 72,660.01
  5. Step 5: Solve for x
    x = 72,660.01/240.08
  6. Step 6: Final answer
    x = 302.65

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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.