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Finding the Fourth Proportional to 338.70, 507.96 and 209.64

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Solution

The fourth proportional to 338.70, 507.96 and 209.64 is: 314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.70 : 507.96 = 209.64 : x
  2. Step 2: Convert to fraction form
    338.70/507.96 = 209.64/x
  3. Step 3: Cross multiply
    338.70x = 507.96 × 209.64
  4. Step 4: Simplify right side
    338.70x = 106,488.73
  5. Step 5: Solve for x
    x = 106,488.73/338.70
  6. Step 6: Final answer
    x = 314.40

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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.