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Finding the Fourth Proportional to 267.99, 399.58 and 263.13

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Solution

The fourth proportional to 267.99, 399.58 and 263.13 is: 392.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.99 : 399.58 = 263.13 : x
  2. Step 2: Convert to fraction form
    267.99/399.58 = 263.13/x
  3. Step 3: Cross multiply
    267.99x = 399.58 × 263.13
  4. Step 4: Simplify right side
    267.99x = 105,138.17
  5. Step 5: Solve for x
    x = 105,138.17/267.99
  6. Step 6: Final answer
    x = 392.33

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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.