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Finding the Fourth Proportional to 538.82, 808.40 and 214

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Solution

The fourth proportional to 538.82, 808.40 and 214 is: 321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.82 : 808.40 = 214 : x
  2. Step 2: Convert to fraction form
    538.82/808.40 = 214/x
  3. Step 3: Cross multiply
    538.82x = 808.40 × 214
  4. Step 4: Simplify right side
    538.82x = 172,997.60
  5. Step 5: Solve for x
    x = 172,997.60/538.82
  6. Step 6: Final answer
    x = 321.07

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