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Finding the Fourth Proportional to 454.00, 680.47 and 193.62

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Solution

The fourth proportional to 454.00, 680.47 and 193.62 is: 290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.00 : 680.47 = 193.62 : x
  2. Step 2: Convert to fraction form
    454.00/680.47 = 193.62/x
  3. Step 3: Cross multiply
    454.00x = 680.47 × 193.62
  4. Step 4: Simplify right side
    454.00x = 131,749.20
  5. Step 5: Solve for x
    x = 131,749.20/454.00
  6. Step 6: Final answer
    x = 290.20

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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.