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Finding the Fourth Proportional to 182.42, 251.74 and 116.90

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Solution

The fourth proportional to 182.42, 251.74 and 116.90 is: 161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.42 : 251.74 = 116.90 : x
  2. Step 2: Convert to fraction form
    182.42/251.74 = 116.90/x
  3. Step 3: Cross multiply
    182.42x = 251.74 × 116.90
  4. Step 4: Simplify right side
    182.42x = 29,428.41
  5. Step 5: Solve for x
    x = 29,428.41/182.42
  6. Step 6: Final answer
    x = 161.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.