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Finding the Fourth Proportional to 260.49, 359.48 and 142.46

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Solution

The fourth proportional to 260.49, 359.48 and 142.46 is: 196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.49 : 359.48 = 142.46 : x
  2. Step 2: Convert to fraction form
    260.49/359.48 = 142.46/x
  3. Step 3: Cross multiply
    260.49x = 359.48 × 142.46
  4. Step 4: Simplify right side
    260.49x = 51,209.01
  5. Step 5: Solve for x
    x = 51,209.01/260.49
  6. Step 6: Final answer
    x = 196.59

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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.