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Finding the Fourth Proportional to 258.11, 386.32 and 189.61

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Solution

The fourth proportional to 258.11, 386.32 and 189.61 is: 283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.11 : 386.32 = 189.61 : x
  2. Step 2: Convert to fraction form
    258.11/386.32 = 189.61/x
  3. Step 3: Cross multiply
    258.11x = 386.32 × 189.61
  4. Step 4: Simplify right side
    258.11x = 73,249.19
  5. Step 5: Solve for x
    x = 73,249.19/258.11
  6. Step 6: Final answer
    x = 283.80

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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.