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Finding the Fourth Proportional to 206.98, 310.29 and 115.70

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Solution

The fourth proportional to 206.98, 310.29 and 115.70 is: 173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.98 : 310.29 = 115.70 : x
  2. Step 2: Convert to fraction form
    206.98/310.29 = 115.70/x
  3. Step 3: Cross multiply
    206.98x = 310.29 × 115.70
  4. Step 4: Simplify right side
    206.98x = 35,900.55
  5. Step 5: Solve for x
    x = 35,900.55/206.98
  6. Step 6: Final answer
    x = 173.45

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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.