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Finding the Fourth Proportional to 542.83, 814.44 and 218.22

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Solution

The fourth proportional to 542.83, 814.44 and 218.22 is: 327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.83 : 814.44 = 218.22 : x
  2. Step 2: Convert to fraction form
    542.83/814.44 = 218.22/x
  3. Step 3: Cross multiply
    542.83x = 814.44 × 218.22
  4. Step 4: Simplify right side
    542.83x = 177,727.10
  5. Step 5: Solve for x
    x = 177,727.10/542.83
  6. Step 6: Final answer
    x = 327.41

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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.