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Finding the Fourth Proportional to 293.90, 405.68 and 169.59

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Solution

The fourth proportional to 293.90, 405.68 and 169.59 is: 234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.90 : 405.68 = 169.59 : x
  2. Step 2: Convert to fraction form
    293.90/405.68 = 169.59/x
  3. Step 3: Cross multiply
    293.90x = 405.68 × 169.59
  4. Step 4: Simplify right side
    293.90x = 68,801.38
  5. Step 5: Solve for x
    x = 68,801.38/293.90
  6. Step 6: Final answer
    x = 234.10

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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.