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Finding the Fourth Proportional to 543.22, 749.34 and 321.95

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Solution

The fourth proportional to 543.22, 749.34 and 321.95 is: 444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.22 : 749.34 = 321.95 : x
  2. Step 2: Convert to fraction form
    543.22/749.34 = 321.95/x
  3. Step 3: Cross multiply
    543.22x = 749.34 × 321.95
  4. Step 4: Simplify right side
    543.22x = 241,251.89
  5. Step 5: Solve for x
    x = 241,251.89/543.22
  6. Step 6: Final answer
    x = 444.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.