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Finding the Fourth Proportional to 260.11, 358.87 and 181.33

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Solution

The fourth proportional to 260.11, 358.87 and 181.33 is: 250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.11 : 358.87 = 181.33 : x
  2. Step 2: Convert to fraction form
    260.11/358.87 = 181.33/x
  3. Step 3: Cross multiply
    260.11x = 358.87 × 181.33
  4. Step 4: Simplify right side
    260.11x = 65,073.90
  5. Step 5: Solve for x
    x = 65,073.90/260.11
  6. Step 6: Final answer
    x = 250.18

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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.