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Finding the Fourth Proportional to 320.01, 440.63 and 280.44

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Solution

The fourth proportional to 320.01, 440.63 and 280.44 is: 386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.01 : 440.63 = 280.44 : x
  2. Step 2: Convert to fraction form
    320.01/440.63 = 280.44/x
  3. Step 3: Cross multiply
    320.01x = 440.63 × 280.44
  4. Step 4: Simplify right side
    320.01x = 123,568.88
  5. Step 5: Solve for x
    x = 123,568.88/320.01
  6. Step 6: Final answer
    x = 386.14

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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.