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Finding the Fourth Proportional to 204.33, 305 and 175.63

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Solution

The fourth proportional to 204.33, 305 and 175.63 is: 262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.33 : 305 = 175.63 : x
  2. Step 2: Convert to fraction form
    204.33/305 = 175.63/x
  3. Step 3: Cross multiply
    204.33x = 305 × 175.63
  4. Step 4: Simplify right side
    204.33x = 53,565.63
  5. Step 5: Solve for x
    x = 53,565.63/204.33
  6. Step 6: Final answer
    x = 262.15

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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.