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Finding the Fourth Proportional to 183.01, 274.23 and 86.62

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Solution

The fourth proportional to 183.01, 274.23 and 86.62 is: 129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.01 : 274.23 = 86.62 : x
  2. Step 2: Convert to fraction form
    183.01/274.23 = 86.62/x
  3. Step 3: Cross multiply
    183.01x = 274.23 × 86.62
  4. Step 4: Simplify right side
    183.01x = 23,753.80
  5. Step 5: Solve for x
    x = 23,753.80/183.01
  6. Step 6: Final answer
    x = 129.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.