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Finding the Fourth Proportional to 206.89, 310.47 and 98.80

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Solution

The fourth proportional to 206.89, 310.47 and 98.80 is: 148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.89 : 310.47 = 98.80 : x
  2. Step 2: Convert to fraction form
    206.89/310.47 = 98.80/x
  3. Step 3: Cross multiply
    206.89x = 310.47 × 98.80
  4. Step 4: Simplify right side
    206.89x = 30,674.44
  5. Step 5: Solve for x
    x = 30,674.44/206.89
  6. Step 6: Final answer
    x = 148.26

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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.