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Finding the Fourth Proportional to 235.46, 324.86 and 206.20

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Solution

The fourth proportional to 235.46, 324.86 and 206.20 is: 284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.46 : 324.86 = 206.20 : x
  2. Step 2: Convert to fraction form
    235.46/324.86 = 206.20/x
  3. Step 3: Cross multiply
    235.46x = 324.86 × 206.20
  4. Step 4: Simplify right side
    235.46x = 66,986.13
  5. Step 5: Solve for x
    x = 66,986.13/235.46
  6. Step 6: Final answer
    x = 284.49

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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.