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Finding the Fourth Proportional to 350.78, 523.82 and 330.53

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Solution

The fourth proportional to 350.78, 523.82 and 330.53 is: 493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.78 : 523.82 = 330.53 : x
  2. Step 2: Convert to fraction form
    350.78/523.82 = 330.53/x
  3. Step 3: Cross multiply
    350.78x = 523.82 × 330.53
  4. Step 4: Simplify right side
    350.78x = 173,133.95
  5. Step 5: Solve for x
    x = 173,133.95/350.78
  6. Step 6: Final answer
    x = 493.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.