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Finding the Fourth Proportional to 258.64, 388.20 and 104.88

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Solution

The fourth proportional to 258.64, 388.20 and 104.88 is: 157.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.64 : 388.20 = 104.88 : x
  2. Step 2: Convert to fraction form
    258.64/388.20 = 104.88/x
  3. Step 3: Cross multiply
    258.64x = 388.20 × 104.88
  4. Step 4: Simplify right side
    258.64x = 40,714.42
  5. Step 5: Solve for x
    x = 40,714.42/258.64
  6. Step 6: Final answer
    x = 157.42

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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.