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Finding the Fourth Proportional to 260.98, 392.01 and 199.90

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Solution

The fourth proportional to 260.98, 392.01 and 199.90 is: 300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.98 : 392.01 = 199.90 : x
  2. Step 2: Convert to fraction form
    260.98/392.01 = 199.90/x
  3. Step 3: Cross multiply
    260.98x = 392.01 × 199.90
  4. Step 4: Simplify right side
    260.98x = 78,362.80
  5. Step 5: Solve for x
    x = 78,362.80/260.98
  6. Step 6: Final answer
    x = 300.26

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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.