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Finding the Fourth Proportional to 183.23, 274.85 and 142.69

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Solution

The fourth proportional to 183.23, 274.85 and 142.69 is: 214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.23 : 274.85 = 142.69 : x
  2. Step 2: Convert to fraction form
    183.23/274.85 = 142.69/x
  3. Step 3: Cross multiply
    183.23x = 274.85 × 142.69
  4. Step 4: Simplify right side
    183.23x = 39,218.35
  5. Step 5: Solve for x
    x = 39,218.35/183.23
  6. Step 6: Final answer
    x = 214.04

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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.