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Finding the Fourth Proportional to 338.09, 505.96 and 208.06

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Solution

The fourth proportional to 338.09, 505.96 and 208.06 is: 311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.09 : 505.96 = 208.06 : x
  2. Step 2: Convert to fraction form
    338.09/505.96 = 208.06/x
  3. Step 3: Cross multiply
    338.09x = 505.96 × 208.06
  4. Step 4: Simplify right side
    338.09x = 105,268.25
  5. Step 5: Solve for x
    x = 105,268.25/338.09
  6. Step 6: Final answer
    x = 311.36

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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.