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Finding the Fourth Proportional to 539.02, 808.53 and 214.31

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Solution

The fourth proportional to 539.02, 808.53 and 214.31 is: 321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.02 : 808.53 = 214.31 : x
  2. Step 2: Convert to fraction form
    539.02/808.53 = 214.31/x
  3. Step 3: Cross multiply
    539.02x = 808.53 × 214.31
  4. Step 4: Simplify right side
    539.02x = 173,278.49
  5. Step 5: Solve for x
    x = 173,278.49/539.02
  6. Step 6: Final answer
    x = 321.47

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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.