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Finding the Fourth Proportional to 258.25, 387.44 and 87.25

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Solution

The fourth proportional to 258.25, 387.44 and 87.25 is: 130.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.25 : 387.44 = 87.25 : x
  2. Step 2: Convert to fraction form
    258.25/387.44 = 87.25/x
  3. Step 3: Cross multiply
    258.25x = 387.44 × 87.25
  4. Step 4: Simplify right side
    258.25x = 33,804.14
  5. Step 5: Solve for x
    x = 33,804.14/258.25
  6. Step 6: Final answer
    x = 130.90

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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.