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Finding the Fourth Proportional to 294.66, 406.50 and 189.76

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Solution

The fourth proportional to 294.66, 406.50 and 189.76 is: 261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.66 : 406.50 = 189.76 : x
  2. Step 2: Convert to fraction form
    294.66/406.50 = 189.76/x
  3. Step 3: Cross multiply
    294.66x = 406.50 × 189.76
  4. Step 4: Simplify right side
    294.66x = 77,137.44
  5. Step 5: Solve for x
    x = 77,137.44/294.66
  6. Step 6: Final answer
    x = 261.78

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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.