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Finding the Fourth Proportional to 267.87, 399.57 and 263.62

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Solution

The fourth proportional to 267.87, 399.57 and 263.62 is: 393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.87 : 399.57 = 263.62 : x
  2. Step 2: Convert to fraction form
    267.87/399.57 = 263.62/x
  3. Step 3: Cross multiply
    267.87x = 399.57 × 263.62
  4. Step 4: Simplify right side
    267.87x = 105,334.64
  5. Step 5: Solve for x
    x = 105,334.64/267.87
  6. Step 6: Final answer
    x = 393.23

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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.