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Finding the Fourth Proportional to 539.18, 808.43 and 264.92

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Solution

The fourth proportional to 539.18, 808.43 and 264.92 is: 397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.18 : 808.43 = 264.92 : x
  2. Step 2: Convert to fraction form
    539.18/808.43 = 264.92/x
  3. Step 3: Cross multiply
    539.18x = 808.43 × 264.92
  4. Step 4: Simplify right side
    539.18x = 214,169.28
  5. Step 5: Solve for x
    x = 214,169.28/539.18
  6. Step 6: Final answer
    x = 397.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.