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Finding the Fourth Proportional to 453.80, 680.93 and 161.29

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Solution

The fourth proportional to 453.80, 680.93 and 161.29 is: 242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.80 : 680.93 = 161.29 : x
  2. Step 2: Convert to fraction form
    453.80/680.93 = 161.29/x
  3. Step 3: Cross multiply
    453.80x = 680.93 × 161.29
  4. Step 4: Simplify right side
    453.80x = 109,828.30
  5. Step 5: Solve for x
    x = 109,828.30/453.80
  6. Step 6: Final answer
    x = 242.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.