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Finding the Fourth Proportional to 183.21, 274.15 and 173.32

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Solution

The fourth proportional to 183.21, 274.15 and 173.32 is: 259.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.21 : 274.15 = 173.32 : x
  2. Step 2: Convert to fraction form
    183.21/274.15 = 173.32/x
  3. Step 3: Cross multiply
    183.21x = 274.15 × 173.32
  4. Step 4: Simplify right side
    183.21x = 47,513.44
  5. Step 5: Solve for x
    x = 47,513.44/183.21
  6. Step 6: Final answer
    x = 259.34

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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.