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Finding the Fourth Proportional to 293.60, 440.52 and 163.43

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Solution

The fourth proportional to 293.60, 440.52 and 163.43 is: 245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.60 : 440.52 = 163.43 : x
  2. Step 2: Convert to fraction form
    293.60/440.52 = 163.43/x
  3. Step 3: Cross multiply
    293.60x = 440.52 × 163.43
  4. Step 4: Simplify right side
    293.60x = 71,994.18
  5. Step 5: Solve for x
    x = 71,994.18/293.60
  6. Step 6: Final answer
    x = 245.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.