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Finding the Fourth Proportional to 680.25, 938.75 and 369.75

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Solution

The fourth proportional to 680.25, 938.75 and 369.75 is: 510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.25 : 938.75 = 369.75 : x
  2. Step 2: Convert to fraction form
    680.25/938.75 = 369.75/x
  3. Step 3: Cross multiply
    680.25x = 938.75 × 369.75
  4. Step 4: Simplify right side
    680.25x = 347,100.96
  5. Step 5: Solve for x
    x = 347,100.96/680.25
  6. Step 6: Final answer
    x = 510.26

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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.