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Finding the Fourth Proportional to 300, 412.74 and 267.18

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Solution

The fourth proportional to 300, 412.74 and 267.18 is: 367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300 : 412.74 = 267.18 : x
  2. Step 2: Convert to fraction form
    300/412.74 = 267.18/x
  3. Step 3: Cross multiply
    300x = 412.74 × 267.18
  4. Step 4: Simplify right side
    300x = 110,275.87
  5. Step 5: Solve for x
    x = 110,275.87/300
  6. Step 6: Final answer
    x = 367.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.