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Finding the Fourth Proportional to 488.75, 674.26 and 301.86

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Solution

The fourth proportional to 488.75, 674.26 and 301.86 is: 416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.75 : 674.26 = 301.86 : x
  2. Step 2: Convert to fraction form
    488.75/674.26 = 301.86/x
  3. Step 3: Cross multiply
    488.75x = 674.26 × 301.86
  4. Step 4: Simplify right side
    488.75x = 203,532.12
  5. Step 5: Solve for x
    x = 203,532.12/488.75
  6. Step 6: Final answer
    x = 416.43

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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.