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Finding the Fourth Proportional to 338.81, 467.54 and 189.43

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Solution

The fourth proportional to 338.81, 467.54 and 189.43 is: 261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.81 : 467.54 = 189.43 : x
  2. Step 2: Convert to fraction form
    338.81/467.54 = 189.43/x
  3. Step 3: Cross multiply
    338.81x = 467.54 × 189.43
  4. Step 4: Simplify right side
    338.81x = 88,564.70
  5. Step 5: Solve for x
    x = 88,564.70/338.81
  6. Step 6: Final answer
    x = 261.40

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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.