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Finding the Fourth Proportional to 533.26, 735.88 and 297.21

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Solution

The fourth proportional to 533.26, 735.88 and 297.21 is: 410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.26 : 735.88 = 297.21 : x
  2. Step 2: Convert to fraction form
    533.26/735.88 = 297.21/x
  3. Step 3: Cross multiply
    533.26x = 735.88 × 297.21
  4. Step 4: Simplify right side
    533.26x = 218,710.89
  5. Step 5: Solve for x
    x = 218,710.89/533.26
  6. Step 6: Final answer
    x = 410.14

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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.