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Finding the Fourth Proportional to 183.02, 274.66 and 91.69

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Solution

The fourth proportional to 183.02, 274.66 and 91.69 is: 137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.02 : 274.66 = 91.69 : x
  2. Step 2: Convert to fraction form
    183.02/274.66 = 91.69/x
  3. Step 3: Cross multiply
    183.02x = 274.66 × 91.69
  4. Step 4: Simplify right side
    183.02x = 25,182.66
  5. Step 5: Solve for x
    x = 25,182.66/183.02
  6. Step 6: Final answer
    x = 137.60

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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.