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Finding the Fourth Proportional to 204.72, 305.24 and 194.59

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Solution

The fourth proportional to 204.72, 305.24 and 194.59 is: 290.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.72 : 305.24 = 194.59 : x
  2. Step 2: Convert to fraction form
    204.72/305.24 = 194.59/x
  3. Step 3: Cross multiply
    204.72x = 305.24 × 194.59
  4. Step 4: Simplify right side
    204.72x = 59,396.65
  5. Step 5: Solve for x
    x = 59,396.65/204.72
  6. Step 6: Final answer
    x = 290.14

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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.