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Finding the Fourth Proportional to 293.29, 404.74 and 162.30

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Solution

The fourth proportional to 293.29, 404.74 and 162.30 is: 223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.29 : 404.74 = 162.30 : x
  2. Step 2: Convert to fraction form
    293.29/404.74 = 162.30/x
  3. Step 3: Cross multiply
    293.29x = 404.74 × 162.30
  4. Step 4: Simplify right side
    293.29x = 65,689.30
  5. Step 5: Solve for x
    x = 65,689.30/293.29
  6. Step 6: Final answer
    x = 223.97

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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.