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Finding the Fourth Proportional to 240, 360.80 and 222.18

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Solution

The fourth proportional to 240, 360.80 and 222.18 is: 334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    240 : 360.80 = 222.18 : x
  2. Step 2: Convert to fraction form
    240/360.80 = 222.18/x
  3. Step 3: Cross multiply
    240x = 360.80 × 222.18
  4. Step 4: Simplify right side
    240x = 80,162.54
  5. Step 5: Solve for x
    x = 80,162.54/240
  6. Step 6: Final answer
    x = 334.01

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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.