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Finding the Fourth Proportional to 338.18, 506.86 and 155.12

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Solution

The fourth proportional to 338.18, 506.86 and 155.12 is: 232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.18 : 506.86 = 155.12 : x
  2. Step 2: Convert to fraction form
    338.18/506.86 = 155.12/x
  3. Step 3: Cross multiply
    338.18x = 506.86 × 155.12
  4. Step 4: Simplify right side
    338.18x = 78,621.20
  5. Step 5: Solve for x
    x = 78,621.20/338.18
  6. Step 6: Final answer
    x = 232.49

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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.