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Finding the Fourth Proportional to 382.23, 572.10 and 252.33

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Solution

The fourth proportional to 382.23, 572.10 and 252.33 is: 377.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.23 : 572.10 = 252.33 : x
  2. Step 2: Convert to fraction form
    382.23/572.10 = 252.33/x
  3. Step 3: Cross multiply
    382.23x = 572.10 × 252.33
  4. Step 4: Simplify right side
    382.23x = 144,357.99
  5. Step 5: Solve for x
    x = 144,357.99/382.23
  6. Step 6: Final answer
    x = 377.67

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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.