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Finding the Fourth Proportional to 264.14, 394.13 and 262.61

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Solution

The fourth proportional to 264.14, 394.13 and 262.61 is: 391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.14 : 394.13 = 262.61 : x
  2. Step 2: Convert to fraction form
    264.14/394.13 = 262.61/x
  3. Step 3: Cross multiply
    264.14x = 394.13 × 262.61
  4. Step 4: Simplify right side
    264.14x = 103,504.12
  5. Step 5: Solve for x
    x = 103,504.12/264.14
  6. Step 6: Final answer
    x = 391.86

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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.