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Finding the Fourth Proportional to 267.44, 399.36 and 264.57

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Solution

The fourth proportional to 267.44, 399.36 and 264.57 is: 395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.44 : 399.36 = 264.57 : x
  2. Step 2: Convert to fraction form
    267.44/399.36 = 264.57/x
  3. Step 3: Cross multiply
    267.44x = 399.36 × 264.57
  4. Step 4: Simplify right side
    267.44x = 105,658.17
  5. Step 5: Solve for x
    x = 105,658.17/267.44
  6. Step 6: Final answer
    x = 395.08

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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.