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Finding the Fourth Proportional to 206.94, 310.70 and 200.86

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Solution

The fourth proportional to 206.94, 310.70 and 200.86 is: 301.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.94 : 310.70 = 200.86 : x
  2. Step 2: Convert to fraction form
    206.94/310.70 = 200.86/x
  3. Step 3: Cross multiply
    206.94x = 310.70 × 200.86
  4. Step 4: Simplify right side
    206.94x = 62,407.20
  5. Step 5: Solve for x
    x = 62,407.20/206.94
  6. Step 6: Final answer
    x = 301.57

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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.