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Finding the Fourth Proportional to 182.46, 274.97 and 155.76

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Solution

The fourth proportional to 182.46, 274.97 and 155.76 is: 234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.46 : 274.97 = 155.76 : x
  2. Step 2: Convert to fraction form
    182.46/274.97 = 155.76/x
  3. Step 3: Cross multiply
    182.46x = 274.97 × 155.76
  4. Step 4: Simplify right side
    182.46x = 42,828.55
  5. Step 5: Solve for x
    x = 42,828.55/182.46
  6. Step 6: Final answer
    x = 234.73

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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.