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Finding the Fourth Proportional to 260.46, 359.43 and 149.88

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Solution

The fourth proportional to 260.46, 359.43 and 149.88 is: 206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.46 : 359.43 = 149.88 : x
  2. Step 2: Convert to fraction form
    260.46/359.43 = 149.88/x
  3. Step 3: Cross multiply
    260.46x = 359.43 × 149.88
  4. Step 4: Simplify right side
    260.46x = 53,871.37
  5. Step 5: Solve for x
    x = 53,871.37/260.46
  6. Step 6: Final answer
    x = 206.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.