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Finding the Fourth Proportional to 453.61, 680.46 and 145.39

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Solution

The fourth proportional to 453.61, 680.46 and 145.39 is: 218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.61 : 680.46 = 145.39 : x
  2. Step 2: Convert to fraction form
    453.61/680.46 = 145.39/x
  3. Step 3: Cross multiply
    453.61x = 680.46 × 145.39
  4. Step 4: Simplify right side
    453.61x = 98,928.68
  5. Step 5: Solve for x
    x = 98,928.68/453.61
  6. Step 6: Final answer
    x = 218.09

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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.