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Finding the Fourth Proportional to 182.31, 274.70 and 165.21

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Solution

The fourth proportional to 182.31, 274.70 and 165.21 is: 248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.31 : 274.70 = 165.21 : x
  2. Step 2: Convert to fraction form
    182.31/274.70 = 165.21/x
  3. Step 3: Cross multiply
    182.31x = 274.70 × 165.21
  4. Step 4: Simplify right side
    182.31x = 45,383.19
  5. Step 5: Solve for x
    x = 45,383.19/182.31
  6. Step 6: Final answer
    x = 248.93

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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.