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Finding the Fourth Proportional to 537.80, 806.46 and 213.08

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Solution

The fourth proportional to 537.80, 806.46 and 213.08 is: 319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.80 : 806.46 = 213.08 : x
  2. Step 2: Convert to fraction form
    537.80/806.46 = 213.08/x
  3. Step 3: Cross multiply
    537.80x = 806.46 × 213.08
  4. Step 4: Simplify right side
    537.80x = 171,840.50
  5. Step 5: Solve for x
    x = 171,840.50/537.80
  6. Step 6: Final answer
    x = 319.52

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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.