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Finding the Fourth Proportional to 204.68, 305.69 and 202.57

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Solution

The fourth proportional to 204.68, 305.69 and 202.57 is: 302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.68 : 305.69 = 202.57 : x
  2. Step 2: Convert to fraction form
    204.68/305.69 = 202.57/x
  3. Step 3: Cross multiply
    204.68x = 305.69 × 202.57
  4. Step 4: Simplify right side
    204.68x = 61,921.85
  5. Step 5: Solve for x
    x = 61,921.85/204.68
  6. Step 6: Final answer
    x = 302.53

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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.