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Finding the Fourth Proportional to 209.28, 315.15 and 182.55

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Solution

The fourth proportional to 209.28, 315.15 and 182.55 is: 274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.28 : 315.15 = 182.55 : x
  2. Step 2: Convert to fraction form
    209.28/315.15 = 182.55/x
  3. Step 3: Cross multiply
    209.28x = 315.15 × 182.55
  4. Step 4: Simplify right side
    209.28x = 57,530.63
  5. Step 5: Solve for x
    x = 57,530.63/209.28
  6. Step 6: Final answer
    x = 274.90

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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.