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Finding the Fourth Proportional to 543.31, 814.96 and 218.67

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Solution

The fourth proportional to 543.31, 814.96 and 218.67 is: 328.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.31 : 814.96 = 218.67 : x
  2. Step 2: Convert to fraction form
    543.31/814.96 = 218.67/x
  3. Step 3: Cross multiply
    543.31x = 814.96 × 218.67
  4. Step 4: Simplify right side
    543.31x = 178,206.76
  5. Step 5: Solve for x
    x = 178,206.76/543.31
  6. Step 6: Final answer
    x = 328.00

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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.