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Finding the Fourth Proportional to 538.61, 808.12 and 214.21

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Solution

The fourth proportional to 538.61, 808.12 and 214.21 is: 321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.61 : 808.12 = 214.21 : x
  2. Step 2: Convert to fraction form
    538.61/808.12 = 214.21/x
  3. Step 3: Cross multiply
    538.61x = 808.12 × 214.21
  4. Step 4: Simplify right side
    538.61x = 173,103.34
  5. Step 5: Solve for x
    x = 173,103.34/538.61
  6. Step 6: Final answer
    x = 321.39

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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.