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Finding the Fourth Proportional to 380.87, 525.09 and 285.94

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Solution

The fourth proportional to 380.87, 525.09 and 285.94 is: 394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.87 : 525.09 = 285.94 : x
  2. Step 2: Convert to fraction form
    380.87/525.09 = 285.94/x
  3. Step 3: Cross multiply
    380.87x = 525.09 × 285.94
  4. Step 4: Simplify right side
    380.87x = 150,140.89
  5. Step 5: Solve for x
    x = 150,140.89/380.87
  6. Step 6: Final answer
    x = 394.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.