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Finding the Fourth Proportional to 293.53, 405.08 and 169.22

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Solution

The fourth proportional to 293.53, 405.08 and 169.22 is: 233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.53 : 405.08 = 169.22 : x
  2. Step 2: Convert to fraction form
    293.53/405.08 = 169.22/x
  3. Step 3: Cross multiply
    293.53x = 405.08 × 169.22
  4. Step 4: Simplify right side
    293.53x = 68,546.04
  5. Step 5: Solve for x
    x = 68,546.04/293.53
  6. Step 6: Final answer
    x = 233.53

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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.