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Finding the Fourth Proportional to 258.00, 386.96 and 84.61

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Solution

The fourth proportional to 258.00, 386.96 and 84.61 is: 126.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.00 : 386.96 = 84.61 : x
  2. Step 2: Convert to fraction form
    258.00/386.96 = 84.61/x
  3. Step 3: Cross multiply
    258.00x = 386.96 × 84.61
  4. Step 4: Simplify right side
    258.00x = 32,740.75
  5. Step 5: Solve for x
    x = 32,740.75/258.00
  6. Step 6: Final answer
    x = 126.90

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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.