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Finding the Fourth Proportional to 338.88, 505.52 and 326.64

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Solution

The fourth proportional to 338.88, 505.52 and 326.64 is: 487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.88 : 505.52 = 326.64 : x
  2. Step 2: Convert to fraction form
    338.88/505.52 = 326.64/x
  3. Step 3: Cross multiply
    338.88x = 505.52 × 326.64
  4. Step 4: Simplify right side
    338.88x = 165,123.05
  5. Step 5: Solve for x
    x = 165,123.05/338.88
  6. Step 6: Final answer
    x = 487.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.