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Finding the Fourth Proportional to 300.85, 417.07 and 284.43

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Solution

The fourth proportional to 300.85, 417.07 and 284.43 is: 394.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.85 : 417.07 = 284.43 : x
  2. Step 2: Convert to fraction form
    300.85/417.07 = 284.43/x
  3. Step 3: Cross multiply
    300.85x = 417.07 × 284.43
  4. Step 4: Simplify right side
    300.85x = 118,627.22
  5. Step 5: Solve for x
    x = 118,627.22/300.85
  6. Step 6: Final answer
    x = 394.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.