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Finding the Fourth Proportional to 322.37, 443.94 and 302.59

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Solution

The fourth proportional to 322.37, 443.94 and 302.59 is: 416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.37 : 443.94 = 302.59 : x
  2. Step 2: Convert to fraction form
    322.37/443.94 = 302.59/x
  3. Step 3: Cross multiply
    322.37x = 443.94 × 302.59
  4. Step 4: Simplify right side
    322.37x = 134,331.80
  5. Step 5: Solve for x
    x = 134,331.80/322.37
  6. Step 6: Final answer
    x = 416.70

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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.