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Finding the Fourth Proportional to 366.27, 549.31 and 106.22

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Solution

The fourth proportional to 366.27, 549.31 and 106.22 is: 159.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.27 : 549.31 = 106.22 : x
  2. Step 2: Convert to fraction form
    366.27/549.31 = 106.22/x
  3. Step 3: Cross multiply
    366.27x = 549.31 × 106.22
  4. Step 4: Simplify right side
    366.27x = 58,344.43
  5. Step 5: Solve for x
    x = 58,344.43/366.27
  6. Step 6: Final answer
    x = 159.29

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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.