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Finding the Fourth Proportional to 380.87, 572.58 and 300.68

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Solution

The fourth proportional to 380.87, 572.58 and 300.68 is: 452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.87 : 572.58 = 300.68 : x
  2. Step 2: Convert to fraction form
    380.87/572.58 = 300.68/x
  3. Step 3: Cross multiply
    380.87x = 572.58 × 300.68
  4. Step 4: Simplify right side
    380.87x = 172,163.35
  5. Step 5: Solve for x
    x = 172,163.35/380.87
  6. Step 6: Final answer
    x = 452.03

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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.