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Finding the Fourth Proportional to 206.25, 310.95 and 195

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Solution

The fourth proportional to 206.25, 310.95 and 195 is: 293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.25 : 310.95 = 195 : x
  2. Step 2: Convert to fraction form
    206.25/310.95 = 195/x
  3. Step 3: Cross multiply
    206.25x = 310.95 × 195
  4. Step 4: Simplify right side
    206.25x = 60,635.25
  5. Step 5: Solve for x
    x = 60,635.25/206.25
  6. Step 6: Final answer
    x = 293.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.