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Finding the Fourth Proportional to 293.70, 440.25 and 120.30

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Solution

The fourth proportional to 293.70, 440.25 and 120.30 is: 180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.70 : 440.25 = 120.30 : x
  2. Step 2: Convert to fraction form
    293.70/440.25 = 120.30/x
  3. Step 3: Cross multiply
    293.70x = 440.25 × 120.30
  4. Step 4: Simplify right side
    293.70x = 52,962.08
  5. Step 5: Solve for x
    x = 52,962.08/293.70
  6. Step 6: Final answer
    x = 180.33

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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.