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Finding the Fourth Proportional to 533.49, 736.20 and 297.42

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Solution

The fourth proportional to 533.49, 736.20 and 297.42 is: 410.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.49 : 736.20 = 297.42 : x
  2. Step 2: Convert to fraction form
    533.49/736.20 = 297.42/x
  3. Step 3: Cross multiply
    533.49x = 736.20 × 297.42
  4. Step 4: Simplify right side
    533.49x = 218,960.60
  5. Step 5: Solve for x
    x = 218,960.60/533.49
  6. Step 6: Final answer
    x = 410.43

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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.