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Finding the Fourth Proportional to 338.17, 506.99 and 106.91

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Solution

The fourth proportional to 338.17, 506.99 and 106.91 is: 160.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.17 : 506.99 = 106.91 : x
  2. Step 2: Convert to fraction form
    338.17/506.99 = 106.91/x
  3. Step 3: Cross multiply
    338.17x = 506.99 × 106.91
  4. Step 4: Simplify right side
    338.17x = 54,202.30
  5. Step 5: Solve for x
    x = 54,202.30/338.17
  6. Step 6: Final answer
    x = 160.28

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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.