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Finding the Fourth Proportional to 533.30, 735.99 and 297.29

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Solution

The fourth proportional to 533.30, 735.99 and 297.29 is: 410.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.30 : 735.99 = 297.29 : x
  2. Step 2: Convert to fraction form
    533.30/735.99 = 297.29/x
  3. Step 3: Cross multiply
    533.30x = 735.99 × 297.29
  4. Step 4: Simplify right side
    533.30x = 218,802.47
  5. Step 5: Solve for x
    x = 218,802.47/533.30
  6. Step 6: Final answer
    x = 410.28

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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.