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Finding the Fourth Proportional to 454.06, 680.51 and 193.75

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Solution

The fourth proportional to 454.06, 680.51 and 193.75 is: 290.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.06 : 680.51 = 193.75 : x
  2. Step 2: Convert to fraction form
    454.06/680.51 = 193.75/x
  3. Step 3: Cross multiply
    454.06x = 680.51 × 193.75
  4. Step 4: Simplify right side
    454.06x = 131,846.14
  5. Step 5: Solve for x
    x = 131,846.14/454.06
  6. Step 6: Final answer
    x = 290.37

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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.