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Finding the Fourth Proportional to 260.96, 359.88 and 187.24

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Solution

The fourth proportional to 260.96, 359.88 and 187.24 is: 258.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.96 : 359.88 = 187.24 : x
  2. Step 2: Convert to fraction form
    260.96/359.88 = 187.24/x
  3. Step 3: Cross multiply
    260.96x = 359.88 × 187.24
  4. Step 4: Simplify right side
    260.96x = 67,383.93
  5. Step 5: Solve for x
    x = 67,383.93/260.96
  6. Step 6: Final answer
    x = 258.22

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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.