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Finding the Fourth Proportional to 537.60, 806.86 and 213.20

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Solution

The fourth proportional to 537.60, 806.86 and 213.20 is: 319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.60 : 806.86 = 213.20 : x
  2. Step 2: Convert to fraction form
    537.60/806.86 = 213.20/x
  3. Step 3: Cross multiply
    537.60x = 806.86 × 213.20
  4. Step 4: Simplify right side
    537.60x = 172,021.81
  5. Step 5: Solve for x
    x = 172,021.81/537.60
  6. Step 6: Final answer
    x = 319.98

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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.