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Finding the Fourth Proportional to 204.84, 308.65 and 169.56

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Solution

The fourth proportional to 204.84, 308.65 and 169.56 is: 255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.84 : 308.65 = 169.56 : x
  2. Step 2: Convert to fraction form
    204.84/308.65 = 169.56/x
  3. Step 3: Cross multiply
    204.84x = 308.65 × 169.56
  4. Step 4: Simplify right side
    204.84x = 52,334.69
  5. Step 5: Solve for x
    x = 52,334.69/204.84
  6. Step 6: Final answer
    x = 255.49

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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.