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Finding the Fourth Proportional to 293.70, 440.14 and 197.31

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Solution

The fourth proportional to 293.70, 440.14 and 197.31 is: 295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.70 : 440.14 = 197.31 : x
  2. Step 2: Convert to fraction form
    293.70/440.14 = 197.31/x
  3. Step 3: Cross multiply
    293.70x = 440.14 × 197.31
  4. Step 4: Simplify right side
    293.70x = 86,844.02
  5. Step 5: Solve for x
    x = 86,844.02/293.70
  6. Step 6: Final answer
    x = 295.69

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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.