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Finding the Fourth Proportional to 206.54, 308.49 and 186.99

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Solution

The fourth proportional to 206.54, 308.49 and 186.99 is: 279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.54 : 308.49 = 186.99 : x
  2. Step 2: Convert to fraction form
    206.54/308.49 = 186.99/x
  3. Step 3: Cross multiply
    206.54x = 308.49 × 186.99
  4. Step 4: Simplify right side
    206.54x = 57,682.07
  5. Step 5: Solve for x
    x = 57,682.07/206.54
  6. Step 6: Final answer
    x = 279.28

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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.