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Finding the Fourth Proportional to 338.61, 467.25 and 189.20

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Solution

The fourth proportional to 338.61, 467.25 and 189.20 is: 261.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.61 : 467.25 = 189.20 : x
  2. Step 2: Convert to fraction form
    338.61/467.25 = 189.20/x
  3. Step 3: Cross multiply
    338.61x = 467.25 × 189.20
  4. Step 4: Simplify right side
    338.61x = 88,401.36
  5. Step 5: Solve for x
    x = 88,401.36/338.61
  6. Step 6: Final answer
    x = 261.07

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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.