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Finding the Fourth Proportional to 293.61, 440.42 and 163.81

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Solution

The fourth proportional to 293.61, 440.42 and 163.81 is: 245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.61 : 440.42 = 163.81 : x
  2. Step 2: Convert to fraction form
    293.61/440.42 = 163.81/x
  3. Step 3: Cross multiply
    293.61x = 440.42 × 163.81
  4. Step 4: Simplify right side
    293.61x = 72,145.20
  5. Step 5: Solve for x
    x = 72,145.20/293.61
  6. Step 6: Final answer
    x = 245.72

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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.