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Finding the Fourth Proportional to 338.69, 508.04 and 122.29

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Solution

The fourth proportional to 338.69, 508.04 and 122.29 is: 183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.69 : 508.04 = 122.29 : x
  2. Step 2: Convert to fraction form
    338.69/508.04 = 122.29/x
  3. Step 3: Cross multiply
    338.69x = 508.04 × 122.29
  4. Step 4: Simplify right side
    338.69x = 62,128.21
  5. Step 5: Solve for x
    x = 62,128.21/338.69
  6. Step 6: Final answer
    x = 183.44

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