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Finding the Fourth Proportional to 352.94, 527.78 and 287.33

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Solution

The fourth proportional to 352.94, 527.78 and 287.33 is: 429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.94 : 527.78 = 287.33 : x
  2. Step 2: Convert to fraction form
    352.94/527.78 = 287.33/x
  3. Step 3: Cross multiply
    352.94x = 527.78 × 287.33
  4. Step 4: Simplify right side
    352.94x = 151,645.11
  5. Step 5: Solve for x
    x = 151,645.11/352.94
  6. Step 6: Final answer
    x = 429.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.