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Finding the Fourth Proportional to 350.78, 524.12 and 338.67

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Solution

The fourth proportional to 350.78, 524.12 and 338.67 is: 506.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.78 : 524.12 = 338.67 : x
  2. Step 2: Convert to fraction form
    350.78/524.12 = 338.67/x
  3. Step 3: Cross multiply
    350.78x = 524.12 × 338.67
  4. Step 4: Simplify right side
    350.78x = 177,502.03
  5. Step 5: Solve for x
    x = 177,502.03/350.78
  6. Step 6: Final answer
    x = 506.03

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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.