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Finding the Fourth Proportional to 260.56, 389.35 and 198.52

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Solution

The fourth proportional to 260.56, 389.35 and 198.52 is: 296.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.56 : 389.35 = 198.52 : x
  2. Step 2: Convert to fraction form
    260.56/389.35 = 198.52/x
  3. Step 3: Cross multiply
    260.56x = 389.35 × 198.52
  4. Step 4: Simplify right side
    260.56x = 77,293.76
  5. Step 5: Solve for x
    x = 77,293.76/260.56
  6. Step 6: Final answer
    x = 296.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.