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Finding the Fourth Proportional to 183.73, 275.21 and 145.02

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Solution

The fourth proportional to 183.73, 275.21 and 145.02 is: 217.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.73 : 275.21 = 145.02 : x
  2. Step 2: Convert to fraction form
    183.73/275.21 = 145.02/x
  3. Step 3: Cross multiply
    183.73x = 275.21 × 145.02
  4. Step 4: Simplify right side
    183.73x = 39,910.95
  5. Step 5: Solve for x
    x = 39,910.95/183.73
  6. Step 6: Final answer
    x = 217.23

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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.