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Finding the Fourth Proportional to 294.90, 406.97 and 168.87

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Solution

The fourth proportional to 294.90, 406.97 and 168.87 is: 233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.90 : 406.97 = 168.87 : x
  2. Step 2: Convert to fraction form
    294.90/406.97 = 168.87/x
  3. Step 3: Cross multiply
    294.90x = 406.97 × 168.87
  4. Step 4: Simplify right side
    294.90x = 68,727.29
  5. Step 5: Solve for x
    x = 68,727.29/294.90
  6. Step 6: Final answer
    x = 233.06

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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.