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Finding the Fourth Proportional to 235.71, 351.64 and 206.75

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Solution

The fourth proportional to 235.71, 351.64 and 206.75 is: 308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.71 : 351.64 = 206.75 : x
  2. Step 2: Convert to fraction form
    235.71/351.64 = 206.75/x
  3. Step 3: Cross multiply
    235.71x = 351.64 × 206.75
  4. Step 4: Simplify right side
    235.71x = 72,702.71
  5. Step 5: Solve for x
    x = 72,702.71/235.71
  6. Step 6: Final answer
    x = 308.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.