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Finding the Fourth Proportional to 293.30, 404.71 and 168.96

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Solution

The fourth proportional to 293.30, 404.71 and 168.96 is: 233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.30 : 404.71 = 168.96 : x
  2. Step 2: Convert to fraction form
    293.30/404.71 = 168.96/x
  3. Step 3: Cross multiply
    293.30x = 404.71 × 168.96
  4. Step 4: Simplify right side
    293.30x = 68,379.80
  5. Step 5: Solve for x
    x = 68,379.80/293.30
  6. Step 6: Final answer
    x = 233.14

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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.