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Finding the Fourth Proportional to 365.84, 501.34 and 331.28

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Solution

The fourth proportional to 365.84, 501.34 and 331.28 is: 453.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.84 : 501.34 = 331.28 : x
  2. Step 2: Convert to fraction form
    365.84/501.34 = 331.28/x
  3. Step 3: Cross multiply
    365.84x = 501.34 × 331.28
  4. Step 4: Simplify right side
    365.84x = 166,083.92
  5. Step 5: Solve for x
    x = 166,083.92/365.84
  6. Step 6: Final answer
    x = 453.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.