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Finding the Fourth Proportional to 454.50, 680.84 and 237.63

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Solution

The fourth proportional to 454.50, 680.84 and 237.63 is: 355.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.50 : 680.84 = 237.63 : x
  2. Step 2: Convert to fraction form
    454.50/680.84 = 237.63/x
  3. Step 3: Cross multiply
    454.50x = 680.84 × 237.63
  4. Step 4: Simplify right side
    454.50x = 161,788.01
  5. Step 5: Solve for x
    x = 161,788.01/454.50
  6. Step 6: Final answer
    x = 355.97

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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.