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Finding the Fourth Proportional to 260.96, 360.12 and 142.93

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Solution

The fourth proportional to 260.96, 360.12 and 142.93 is: 197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.96 : 360.12 = 142.93 : x
  2. Step 2: Convert to fraction form
    260.96/360.12 = 142.93/x
  3. Step 3: Cross multiply
    260.96x = 360.12 × 142.93
  4. Step 4: Simplify right side
    260.96x = 51,471.24
  5. Step 5: Solve for x
    x = 51,471.24/260.96
  6. Step 6: Final answer
    x = 197.24

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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.