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Finding the Fourth Proportional to 182.20, 271.64 and 165.10

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Solution

The fourth proportional to 182.20, 271.64 and 165.10 is: 246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.20 : 271.64 = 165.10 : x
  2. Step 2: Convert to fraction form
    182.20/271.64 = 165.10/x
  3. Step 3: Cross multiply
    182.20x = 271.64 × 165.10
  4. Step 4: Simplify right side
    182.20x = 44,847.76
  5. Step 5: Solve for x
    x = 44,847.76/182.20
  6. Step 6: Final answer
    x = 246.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.