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Finding the Fourth Proportional to 388.56, 535.88 and 257.44

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Solution

The fourth proportional to 388.56, 535.88 and 257.44 is: 355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.56 : 535.88 = 257.44 : x
  2. Step 2: Convert to fraction form
    388.56/535.88 = 257.44/x
  3. Step 3: Cross multiply
    388.56x = 535.88 × 257.44
  4. Step 4: Simplify right side
    388.56x = 137,956.95
  5. Step 5: Solve for x
    x = 137,956.95/388.56
  6. Step 6: Final answer
    x = 355.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.