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Finding the Fourth Proportional to 338.94, 467.46 and 207.90

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Solution

The fourth proportional to 338.94, 467.46 and 207.90 is: 286.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.94 : 467.46 = 207.90 : x
  2. Step 2: Convert to fraction form
    338.94/467.46 = 207.90/x
  3. Step 3: Cross multiply
    338.94x = 467.46 × 207.90
  4. Step 4: Simplify right side
    338.94x = 97,184.93
  5. Step 5: Solve for x
    x = 97,184.93/338.94
  6. Step 6: Final answer
    x = 286.73

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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.