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Finding the Fourth Proportional to 182.43, 274.86 and 165.10

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Solution

The fourth proportional to 182.43, 274.86 and 165.10 is: 248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.43 : 274.86 = 165.10 : x
  2. Step 2: Convert to fraction form
    182.43/274.86 = 165.10/x
  3. Step 3: Cross multiply
    182.43x = 274.86 × 165.10
  4. Step 4: Simplify right side
    182.43x = 45,379.75
  5. Step 5: Solve for x
    x = 45,379.75/182.43
  6. Step 6: Final answer
    x = 248.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.