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Finding the Fourth Proportional to 202.64, 305 and 182.75

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Solution

The fourth proportional to 202.64, 305 and 182.75 is: 275.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.64 : 305 = 182.75 : x
  2. Step 2: Convert to fraction form
    202.64/305 = 182.75/x
  3. Step 3: Cross multiply
    202.64x = 305 × 182.75
  4. Step 4: Simplify right side
    202.64x = 55,738.75
  5. Step 5: Solve for x
    x = 55,738.75/202.64
  6. Step 6: Final answer
    x = 275.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.