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Finding the Fourth Proportional to 537.53, 806.09 and 293.93

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Solution

The fourth proportional to 537.53, 806.09 and 293.93 is: 440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.53 : 806.09 = 293.93 : x
  2. Step 2: Convert to fraction form
    537.53/806.09 = 293.93/x
  3. Step 3: Cross multiply
    537.53x = 806.09 × 293.93
  4. Step 4: Simplify right side
    537.53x = 236,934.03
  5. Step 5: Solve for x
    x = 236,934.03/537.53
  6. Step 6: Final answer
    x = 440.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.