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Finding the Fourth Proportional to 258.68, 386.58 and 204

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Solution

The fourth proportional to 258.68, 386.58 and 204 is: 304.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.68 : 386.58 = 204 : x
  2. Step 2: Convert to fraction form
    258.68/386.58 = 204/x
  3. Step 3: Cross multiply
    258.68x = 386.58 × 204
  4. Step 4: Simplify right side
    258.68x = 78,862.32
  5. Step 5: Solve for x
    x = 78,862.32/258.68
  6. Step 6: Final answer
    x = 304.87

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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.