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Finding the Fourth Proportional to 294.32, 406.22 and 189.38

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Solution

The fourth proportional to 294.32, 406.22 and 189.38 is: 261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.32 : 406.22 = 189.38 : x
  2. Step 2: Convert to fraction form
    294.32/406.22 = 189.38/x
  3. Step 3: Cross multiply
    294.32x = 406.22 × 189.38
  4. Step 4: Simplify right side
    294.32x = 76,930.01
  5. Step 5: Solve for x
    x = 76,930.01/294.32
  6. Step 6: Final answer
    x = 261.38

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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.