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Finding the Fourth Proportional to 338.27, 506.93 and 175.73

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Solution

The fourth proportional to 338.27, 506.93 and 175.73 is: 263.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.27 : 506.93 = 175.73 : x
  2. Step 2: Convert to fraction form
    338.27/506.93 = 175.73/x
  3. Step 3: Cross multiply
    338.27x = 506.93 × 175.73
  4. Step 4: Simplify right side
    338.27x = 89,079.40
  5. Step 5: Solve for x
    x = 89,079.40/338.27
  6. Step 6: Final answer
    x = 263.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.