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Finding the Fourth Proportional to 183.05, 274.59 and 171.05

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Solution

The fourth proportional to 183.05, 274.59 and 171.05 is: 256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.05 : 274.59 = 171.05 : x
  2. Step 2: Convert to fraction form
    183.05/274.59 = 171.05/x
  3. Step 3: Cross multiply
    183.05x = 274.59 × 171.05
  4. Step 4: Simplify right side
    183.05x = 46,968.40
  5. Step 5: Solve for x
    x = 46,968.40/183.05
  6. Step 6: Final answer
    x = 256.59

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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.