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Finding the Fourth Proportional to 206.54, 308.28 and 182.24

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Solution

The fourth proportional to 206.54, 308.28 and 182.24 is: 272.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.54 : 308.28 = 182.24 : x
  2. Step 2: Convert to fraction form
    206.54/308.28 = 182.24/x
  3. Step 3: Cross multiply
    206.54x = 308.28 × 182.24
  4. Step 4: Simplify right side
    206.54x = 56,180.95
  5. Step 5: Solve for x
    x = 56,180.95/206.54
  6. Step 6: Final answer
    x = 272.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.