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Finding the Fourth Proportional to 235.63, 324.39 and 206.47

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Solution

The fourth proportional to 235.63, 324.39 and 206.47 is: 284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.63 : 324.39 = 206.47 : x
  2. Step 2: Convert to fraction form
    235.63/324.39 = 206.47/x
  3. Step 3: Cross multiply
    235.63x = 324.39 × 206.47
  4. Step 4: Simplify right side
    235.63x = 66,976.80
  5. Step 5: Solve for x
    x = 66,976.80/235.63
  6. Step 6: Final answer
    x = 284.25

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