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Finding the Fourth Proportional to 183.51, 274.92 and 142.74

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Solution

The fourth proportional to 183.51, 274.92 and 142.74 is: 213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.51 : 274.92 = 142.74 : x
  2. Step 2: Convert to fraction form
    183.51/274.92 = 142.74/x
  3. Step 3: Cross multiply
    183.51x = 274.92 × 142.74
  4. Step 4: Simplify right side
    183.51x = 39,242.08
  5. Step 5: Solve for x
    x = 39,242.08/183.51
  6. Step 6: Final answer
    x = 213.84

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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.