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Finding the Fourth Proportional to 235.17, 323.75 and 206.03

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Solution

The fourth proportional to 235.17, 323.75 and 206.03 is: 283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.17 : 323.75 = 206.03 : x
  2. Step 2: Convert to fraction form
    235.17/323.75 = 206.03/x
  3. Step 3: Cross multiply
    235.17x = 323.75 × 206.03
  4. Step 4: Simplify right side
    235.17x = 66,703.54
  5. Step 5: Solve for x
    x = 66,703.54/235.17
  6. Step 6: Final answer
    x = 283.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.