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Finding the Fourth Proportional to 338.42, 505.10 and 330.21

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Solution

The fourth proportional to 338.42, 505.10 and 330.21 is: 492.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.42 : 505.10 = 330.21 : x
  2. Step 2: Convert to fraction form
    338.42/505.10 = 330.21/x
  3. Step 3: Cross multiply
    338.42x = 505.10 × 330.21
  4. Step 4: Simplify right side
    338.42x = 166,789.07
  5. Step 5: Solve for x
    x = 166,789.07/338.42
  6. Step 6: Final answer
    x = 492.85

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Why These Related Problems?

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