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Finding the Fourth Proportional to 330.83, 496.26 and 257.25

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Solution

The fourth proportional to 330.83, 496.26 and 257.25 is: 385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.83 : 496.26 = 257.25 : x
  2. Step 2: Convert to fraction form
    330.83/496.26 = 257.25/x
  3. Step 3: Cross multiply
    330.83x = 496.26 × 257.25
  4. Step 4: Simplify right side
    330.83x = 127,662.89
  5. Step 5: Solve for x
    x = 127,662.89/330.83
  6. Step 6: Final answer
    x = 385.89

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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.