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Finding the Fourth Proportional to 294.66, 406.82 and 189.80

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Solution

The fourth proportional to 294.66, 406.82 and 189.80 is: 262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.66 : 406.82 = 189.80 : x
  2. Step 2: Convert to fraction form
    294.66/406.82 = 189.80/x
  3. Step 3: Cross multiply
    294.66x = 406.82 × 189.80
  4. Step 4: Simplify right side
    294.66x = 77,214.44
  5. Step 5: Solve for x
    x = 77,214.44/294.66
  6. Step 6: Final answer
    x = 262.05

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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.