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Finding the Fourth Proportional to 453.97, 626.68 and 306.69

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Solution

The fourth proportional to 453.97, 626.68 and 306.69 is: 423.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.97 : 626.68 = 306.69 : x
  2. Step 2: Convert to fraction form
    453.97/626.68 = 306.69/x
  3. Step 3: Cross multiply
    453.97x = 626.68 × 306.69
  4. Step 4: Simplify right side
    453.97x = 192,196.49
  5. Step 5: Solve for x
    x = 192,196.49/453.97
  6. Step 6: Final answer
    x = 423.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.