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Finding the Fourth Proportional to 543.11, 814.99 and 218.50

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Solution

The fourth proportional to 543.11, 814.99 and 218.50 is: 327.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.11 : 814.99 = 218.50 : x
  2. Step 2: Convert to fraction form
    543.11/814.99 = 218.50/x
  3. Step 3: Cross multiply
    543.11x = 814.99 × 218.50
  4. Step 4: Simplify right side
    543.11x = 178,075.32
  5. Step 5: Solve for x
    x = 178,075.32/543.11
  6. Step 6: Final answer
    x = 327.88

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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.