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Finding the Fourth Proportional to 258.60, 389.40 and 194.05

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Solution

The fourth proportional to 258.60, 389.40 and 194.05 is: 292.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.60 : 389.40 = 194.05 : x
  2. Step 2: Convert to fraction form
    258.60/389.40 = 194.05/x
  3. Step 3: Cross multiply
    258.60x = 389.40 × 194.05
  4. Step 4: Simplify right side
    258.60x = 75,562.10
  5. Step 5: Solve for x
    x = 75,562.10/258.60
  6. Step 6: Final answer
    x = 292.20

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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.