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Finding the Fourth Proportional to 267.14, 398.22 and 264.26

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Solution

The fourth proportional to 267.14, 398.22 and 264.26 is: 393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.14 : 398.22 = 264.26 : x
  2. Step 2: Convert to fraction form
    267.14/398.22 = 264.26/x
  3. Step 3: Cross multiply
    267.14x = 398.22 × 264.26
  4. Step 4: Simplify right side
    267.14x = 105,232.30
  5. Step 5: Solve for x
    x = 105,232.30/267.14
  6. Step 6: Final answer
    x = 393.92

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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.