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Finding the Fourth Proportional to 320.36, 440.24 and 254.75

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Solution

The fourth proportional to 320.36, 440.24 and 254.75 is: 350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.36 : 440.24 = 254.75 : x
  2. Step 2: Convert to fraction form
    320.36/440.24 = 254.75/x
  3. Step 3: Cross multiply
    320.36x = 440.24 × 254.75
  4. Step 4: Simplify right side
    320.36x = 112,147.67
  5. Step 5: Solve for x
    x = 112,147.67/320.36
  6. Step 6: Final answer
    x = 350.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.