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Finding the Fourth Proportional to 338.13, 506.52 and 155.28

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Solution

The fourth proportional to 338.13, 506.52 and 155.28 is: 232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.13 : 506.52 = 155.28 : x
  2. Step 2: Convert to fraction form
    338.13/506.52 = 155.28/x
  3. Step 3: Cross multiply
    338.13x = 506.52 × 155.28
  4. Step 4: Simplify right side
    338.13x = 78,652.43
  5. Step 5: Solve for x
    x = 78,652.43/338.13
  6. Step 6: Final answer
    x = 232.61

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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.