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Finding the Fourth Proportional to 352.82, 526.43 and 350.78

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Solution

The fourth proportional to 352.82, 526.43 and 350.78 is: 523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.82 : 526.43 = 350.78 : x
  2. Step 2: Convert to fraction form
    352.82/526.43 = 350.78/x
  3. Step 3: Cross multiply
    352.82x = 526.43 × 350.78
  4. Step 4: Simplify right side
    352.82x = 184,658.04
  5. Step 5: Solve for x
    x = 184,658.04/352.82
  6. Step 6: Final answer
    x = 523.38

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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.