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Finding the Fourth Proportional to 539.22, 808.25 and 264.77

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Solution

The fourth proportional to 539.22, 808.25 and 264.77 is: 396.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.22 : 808.25 = 264.77 : x
  2. Step 2: Convert to fraction form
    539.22/808.25 = 264.77/x
  3. Step 3: Cross multiply
    539.22x = 808.25 × 264.77
  4. Step 4: Simplify right side
    539.22x = 213,994.99
  5. Step 5: Solve for x
    x = 213,994.99/539.22
  6. Step 6: Final answer
    x = 396.86

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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.