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Finding the Fourth Proportional to 533.27, 735.91 and 297.21

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Solution

The fourth proportional to 533.27, 735.91 and 297.21 is: 410.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.27 : 735.91 = 297.21 : x
  2. Step 2: Convert to fraction form
    533.27/735.91 = 297.21/x
  3. Step 3: Cross multiply
    533.27x = 735.91 × 297.21
  4. Step 4: Simplify right side
    533.27x = 218,716.13
  5. Step 5: Solve for x
    x = 218,716.13/533.27
  6. Step 6: Final answer
    x = 410.15

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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.