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Finding the Fourth Proportional to 260.55, 359.56 and 144.11

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Solution

The fourth proportional to 260.55, 359.56 and 144.11 is: 198.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.55 : 359.56 = 144.11 : x
  2. Step 2: Convert to fraction form
    260.55/359.56 = 144.11/x
  3. Step 3: Cross multiply
    260.55x = 359.56 × 144.11
  4. Step 4: Simplify right side
    260.55x = 51,816.19
  5. Step 5: Solve for x
    x = 51,816.19/260.55
  6. Step 6: Final answer
    x = 198.87

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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.