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Finding the Fourth Proportional to 183.45, 274.93 and 91.95

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Solution

The fourth proportional to 183.45, 274.93 and 91.95 is: 137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.45 : 274.93 = 91.95 : x
  2. Step 2: Convert to fraction form
    183.45/274.93 = 91.95/x
  3. Step 3: Cross multiply
    183.45x = 274.93 × 91.95
  4. Step 4: Simplify right side
    183.45x = 25,278.55
  5. Step 5: Solve for x
    x = 25,278.55/183.45
  6. Step 6: Final answer
    x = 137.80

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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.