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Finding the Fourth Proportional to 338.84, 467.61 and 207.75

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Solution

The fourth proportional to 338.84, 467.61 and 207.75 is: 286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.84 : 467.61 = 207.75 : x
  2. Step 2: Convert to fraction form
    338.84/467.61 = 207.75/x
  3. Step 3: Cross multiply
    338.84x = 467.61 × 207.75
  4. Step 4: Simplify right side
    338.84x = 97,145.98
  5. Step 5: Solve for x
    x = 97,145.98/338.84
  6. Step 6: Final answer
    x = 286.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.