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Finding the Fourth Proportional to 204.07, 305.75 and 143.08

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Solution

The fourth proportional to 204.07, 305.75 and 143.08 is: 214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.07 : 305.75 = 143.08 : x
  2. Step 2: Convert to fraction form
    204.07/305.75 = 143.08/x
  3. Step 3: Cross multiply
    204.07x = 305.75 × 143.08
  4. Step 4: Simplify right side
    204.07x = 43,745.99
  5. Step 5: Solve for x
    x = 43,745.99/204.07
  6. Step 6: Final answer
    x = 214.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.