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Finding the Fourth Proportional to 539.31, 808.74 and 214.50

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Solution

The fourth proportional to 539.31, 808.74 and 214.50 is: 321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.31 : 808.74 = 214.50 : x
  2. Step 2: Convert to fraction form
    539.31/808.74 = 214.50/x
  3. Step 3: Cross multiply
    539.31x = 808.74 × 214.50
  4. Step 4: Simplify right side
    539.31x = 173,474.73
  5. Step 5: Solve for x
    x = 173,474.73/539.31
  6. Step 6: Final answer
    x = 321.66

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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.