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Finding the Fourth Proportional to 204.51, 308.29 and 202.69

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Solution

The fourth proportional to 204.51, 308.29 and 202.69 is: 305.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.51 : 308.29 = 202.69 : x
  2. Step 2: Convert to fraction form
    204.51/308.29 = 202.69/x
  3. Step 3: Cross multiply
    204.51x = 308.29 × 202.69
  4. Step 4: Simplify right side
    204.51x = 62,487.30
  5. Step 5: Solve for x
    x = 62,487.30/204.51
  6. Step 6: Final answer
    x = 305.55

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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.