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Finding the Fourth Proportional to 539.68, 745.12 and 353.28

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Solution

The fourth proportional to 539.68, 745.12 and 353.28 is: 487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.68 : 745.12 = 353.28 : x
  2. Step 2: Convert to fraction form
    539.68/745.12 = 353.28/x
  3. Step 3: Cross multiply
    539.68x = 745.12 × 353.28
  4. Step 4: Simplify right side
    539.68x = 263,235.99
  5. Step 5: Solve for x
    x = 263,235.99/539.68
  6. Step 6: Final answer
    x = 487.76

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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.