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Finding the Fourth Proportional to 453.34, 680.11 and 140.99

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Solution

The fourth proportional to 453.34, 680.11 and 140.99 is: 211.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.34 : 680.11 = 140.99 : x
  2. Step 2: Convert to fraction form
    453.34/680.11 = 140.99/x
  3. Step 3: Cross multiply
    453.34x = 680.11 × 140.99
  4. Step 4: Simplify right side
    453.34x = 95,888.71
  5. Step 5: Solve for x
    x = 95,888.71/453.34
  6. Step 6: Final answer
    x = 211.52

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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.