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Finding the Fourth Proportional to 258.74, 387.80 and 197.68

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Solution

The fourth proportional to 258.74, 387.80 and 197.68 is: 296.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.74 : 387.80 = 197.68 : x
  2. Step 2: Convert to fraction form
    258.74/387.80 = 197.68/x
  3. Step 3: Cross multiply
    258.74x = 387.80 × 197.68
  4. Step 4: Simplify right side
    258.74x = 76,660.30
  5. Step 5: Solve for x
    x = 76,660.30/258.74
  6. Step 6: Final answer
    x = 296.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.