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Finding the Fourth Proportional to 293.59, 440.32 and 120.21

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Solution

The fourth proportional to 293.59, 440.32 and 120.21 is: 180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.59 : 440.32 = 120.21 : x
  2. Step 2: Convert to fraction form
    293.59/440.32 = 120.21/x
  3. Step 3: Cross multiply
    293.59x = 440.32 × 120.21
  4. Step 4: Simplify right side
    293.59x = 52,930.57
  5. Step 5: Solve for x
    x = 52,930.57/293.59
  6. Step 6: Final answer
    x = 180.29

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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.