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Finding the Fourth Proportional to 258.48, 389.10 and 198.36

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Solution

The fourth proportional to 258.48, 389.10 and 198.36 is: 298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.48 : 389.10 = 198.36 : x
  2. Step 2: Convert to fraction form
    258.48/389.10 = 198.36/x
  3. Step 3: Cross multiply
    258.48x = 389.10 × 198.36
  4. Step 4: Simplify right side
    258.48x = 77,181.88
  5. Step 5: Solve for x
    x = 77,181.88/258.48
  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.