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Finding the Fourth Proportional to 260.12, 358.62 and 194.52

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Solution

The fourth proportional to 260.12, 358.62 and 194.52 is: 268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.12 : 358.62 = 194.52 : x
  2. Step 2: Convert to fraction form
    260.12/358.62 = 194.52/x
  3. Step 3: Cross multiply
    260.12x = 358.62 × 194.52
  4. Step 4: Simplify right side
    260.12x = 69,758.76
  5. Step 5: Solve for x
    x = 69,758.76/260.12
  6. Step 6: Final answer
    x = 268.18

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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.