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Finding the Fourth Proportional to 537.66, 805.29 and 248.22

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Solution

The fourth proportional to 537.66, 805.29 and 248.22 is: 371.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.66 : 805.29 = 248.22 : x
  2. Step 2: Convert to fraction form
    537.66/805.29 = 248.22/x
  3. Step 3: Cross multiply
    537.66x = 805.29 × 248.22
  4. Step 4: Simplify right side
    537.66x = 199,889.08
  5. Step 5: Solve for x
    x = 199,889.08/537.66
  6. Step 6: Final answer
    x = 371.78

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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.