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Finding the Fourth Proportional to 320.22, 440.37 and 254.61

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Solution

The fourth proportional to 320.22, 440.37 and 254.61 is: 350.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.22 : 440.37 = 254.61 : x
  2. Step 2: Convert to fraction form
    320.22/440.37 = 254.61/x
  3. Step 3: Cross multiply
    320.22x = 440.37 × 254.61
  4. Step 4: Simplify right side
    320.22x = 112,122.61
  5. Step 5: Solve for x
    x = 112,122.61/320.22
  6. Step 6: Final answer
    x = 350.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.