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Finding the Fourth Proportional to 453.14, 625.33 and 320.23

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Solution

The fourth proportional to 453.14, 625.33 and 320.23 is: 441.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.14 : 625.33 = 320.23 : x
  2. Step 2: Convert to fraction form
    453.14/625.33 = 320.23/x
  3. Step 3: Cross multiply
    453.14x = 625.33 × 320.23
  4. Step 4: Simplify right side
    453.14x = 200,245.29
  5. Step 5: Solve for x
    x = 200,245.29/453.14
  6. Step 6: Final answer
    x = 441.90

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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.