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Finding the Fourth Proportional to 435.98, 601.83 and 331.09

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Solution

The fourth proportional to 435.98, 601.83 and 331.09 is: 457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.98 : 601.83 = 331.09 : x
  2. Step 2: Convert to fraction form
    435.98/601.83 = 331.09/x
  3. Step 3: Cross multiply
    435.98x = 601.83 × 331.09
  4. Step 4: Simplify right side
    435.98x = 199,258.39
  5. Step 5: Solve for x
    x = 199,258.39/435.98
  6. Step 6: Final answer
    x = 457.03

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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.