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Finding the Fourth Proportional to 258.88, 388.48 and 96.58

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Solution

The fourth proportional to 258.88, 388.48 and 96.58 is: 144.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.88 : 388.48 = 96.58 : x
  2. Step 2: Convert to fraction form
    258.88/388.48 = 96.58/x
  3. Step 3: Cross multiply
    258.88x = 388.48 × 96.58
  4. Step 4: Simplify right side
    258.88x = 37,519.40
  5. Step 5: Solve for x
    x = 37,519.40/258.88
  6. Step 6: Final answer
    x = 144.93

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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.