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Finding the Fourth Proportional to 268.24, 399.95 and 263.38

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Solution

The fourth proportional to 268.24, 399.95 and 263.38 is: 392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.24 : 399.95 = 263.38 : x
  2. Step 2: Convert to fraction form
    268.24/399.95 = 263.38/x
  3. Step 3: Cross multiply
    268.24x = 399.95 × 263.38
  4. Step 4: Simplify right side
    268.24x = 105,336.83
  5. Step 5: Solve for x
    x = 105,336.83/268.24
  6. Step 6: Final answer
    x = 392.70

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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.