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Finding the Fourth Proportional to 533.97, 736.80 and 306.83

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Solution

The fourth proportional to 533.97, 736.80 and 306.83 is: 423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.97 : 736.80 = 306.83 : x
  2. Step 2: Convert to fraction form
    533.97/736.80 = 306.83/x
  3. Step 3: Cross multiply
    533.97x = 736.80 × 306.83
  4. Step 4: Simplify right side
    533.97x = 226,068.66
  5. Step 5: Solve for x
    x = 226,068.66/533.97
  6. Step 6: Final answer
    x = 423.37

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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.