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Finding the Fourth Proportional to 537.76, 806.72 and 213.08

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Solution

The fourth proportional to 537.76, 806.72 and 213.08 is: 319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.76 : 806.72 = 213.08 : x
  2. Step 2: Convert to fraction form
    537.76/806.72 = 213.08/x
  3. Step 3: Cross multiply
    537.76x = 806.72 × 213.08
  4. Step 4: Simplify right side
    537.76x = 171,895.90
  5. Step 5: Solve for x
    x = 171,895.90/537.76
  6. Step 6: Final answer
    x = 319.65

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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.