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Finding the Fourth Proportional to 276.04, 412.34 and 222.04

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Solution

The fourth proportional to 276.04, 412.34 and 222.04 is: 331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.04 : 412.34 = 222.04 : x
  2. Step 2: Convert to fraction form
    276.04/412.34 = 222.04/x
  3. Step 3: Cross multiply
    276.04x = 412.34 × 222.04
  4. Step 4: Simplify right side
    276.04x = 91,555.97
  5. Step 5: Solve for x
    x = 91,555.97/276.04
  6. Step 6: Final answer
    x = 331.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.