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Finding the Fourth Proportional to 454.78, 680.91 and 234.94

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Solution

The fourth proportional to 454.78, 680.91 and 234.94 is: 351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.78 : 680.91 = 234.94 : x
  2. Step 2: Convert to fraction form
    454.78/680.91 = 234.94/x
  3. Step 3: Cross multiply
    454.78x = 680.91 × 234.94
  4. Step 4: Simplify right side
    454.78x = 159,973.00
  5. Step 5: Solve for x
    x = 159,973.00/454.78
  6. Step 6: Final answer
    x = 351.76

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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.