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Finding the Fourth Proportional to 542.76, 814.29 and 218.36

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Solution

The fourth proportional to 542.76, 814.29 and 218.36 is: 327.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.76 : 814.29 = 218.36 : x
  2. Step 2: Convert to fraction form
    542.76/814.29 = 218.36/x
  3. Step 3: Cross multiply
    542.76x = 814.29 × 218.36
  4. Step 4: Simplify right side
    542.76x = 177,804.70
  5. Step 5: Solve for x
    x = 177,804.70/542.76
  6. Step 6: Final answer
    x = 327.59

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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.