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Finding the Fourth Proportional to 183.73, 274.30 and 140.16

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Solution

The fourth proportional to 183.73, 274.30 and 140.16 is: 209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.73 : 274.30 = 140.16 : x
  2. Step 2: Convert to fraction form
    183.73/274.30 = 140.16/x
  3. Step 3: Cross multiply
    183.73x = 274.30 × 140.16
  4. Step 4: Simplify right side
    183.73x = 38,445.89
  5. Step 5: Solve for x
    x = 38,445.89/183.73
  6. Step 6: Final answer
    x = 209.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.