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Finding the Fourth Proportional to 538.75, 808.14 and 214.14

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Solution

The fourth proportional to 538.75, 808.14 and 214.14 is: 321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.75 : 808.14 = 214.14 : x
  2. Step 2: Convert to fraction form
    538.75/808.14 = 214.14/x
  3. Step 3: Cross multiply
    538.75x = 808.14 × 214.14
  4. Step 4: Simplify right side
    538.75x = 173,058.93
  5. Step 5: Solve for x
    x = 173,058.93/538.75
  6. Step 6: Final answer
    x = 321.22

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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.