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Finding the Fourth Proportional to 534.49, 737.60 and 298.42

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Solution

The fourth proportional to 534.49, 737.60 and 298.42 is: 411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.49 : 737.60 = 298.42 : x
  2. Step 2: Convert to fraction form
    534.49/737.60 = 298.42/x
  3. Step 3: Cross multiply
    534.49x = 737.60 × 298.42
  4. Step 4: Simplify right side
    534.49x = 220,114.59
  5. Step 5: Solve for x
    x = 220,114.59/534.49
  6. Step 6: Final answer
    x = 411.82

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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.