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Finding the Fourth Proportional to 534.22, 737.20 and 298.18

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Solution

The fourth proportional to 534.22, 737.20 and 298.18 is: 411.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.22 : 737.20 = 298.18 : x
  2. Step 2: Convert to fraction form
    534.22/737.20 = 298.18/x
  3. Step 3: Cross multiply
    534.22x = 737.20 × 298.18
  4. Step 4: Simplify right side
    534.22x = 219,819.04
  5. Step 5: Solve for x
    x = 219,819.04/534.22
  6. Step 6: Final answer
    x = 411.48

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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.