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Finding the Fourth Proportional to 539.96, 745.08 and 303.87

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Solution

The fourth proportional to 539.96, 745.08 and 303.87 is: 419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.96 : 745.08 = 303.87 : x
  2. Step 2: Convert to fraction form
    539.96/745.08 = 303.87/x
  3. Step 3: Cross multiply
    539.96x = 745.08 × 303.87
  4. Step 4: Simplify right side
    539.96x = 226,407.46
  5. Step 5: Solve for x
    x = 226,407.46/539.96
  6. Step 6: Final answer
    x = 419.30

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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.