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Finding the Fourth Proportional to 258.95, 389.83 and 198.35

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Solution

The fourth proportional to 258.95, 389.83 and 198.35 is: 298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.95 : 389.83 = 198.35 : x
  2. Step 2: Convert to fraction form
    258.95/389.83 = 198.35/x
  3. Step 3: Cross multiply
    258.95x = 389.83 × 198.35
  4. Step 4: Simplify right side
    258.95x = 77,321.33
  5. Step 5: Solve for x
    x = 77,321.33/258.95
  6. Step 6: Final answer
    x = 298.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.