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Finding the Fourth Proportional to 235.14, 352.38 and 206.19

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Solution

The fourth proportional to 235.14, 352.38 and 206.19 is: 308.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.14 : 352.38 = 206.19 : x
  2. Step 2: Convert to fraction form
    235.14/352.38 = 206.19/x
  3. Step 3: Cross multiply
    235.14x = 352.38 × 206.19
  4. Step 4: Simplify right side
    235.14x = 72,656.14
  5. Step 5: Solve for x
    x = 72,656.14/235.14
  6. Step 6: Final answer
    x = 308.98

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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.