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Finding the Fourth Proportional to 539.24, 744.14 and 303.20

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Solution

The fourth proportional to 539.24, 744.14 and 303.20 is: 418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.24 : 744.14 = 303.20 : x
  2. Step 2: Convert to fraction form
    539.24/744.14 = 303.20/x
  3. Step 3: Cross multiply
    539.24x = 744.14 × 303.20
  4. Step 4: Simplify right side
    539.24x = 225,623.25
  5. Step 5: Solve for x
    x = 225,623.25/539.24
  6. Step 6: Final answer
    x = 418.41

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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.