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Finding the Fourth Proportional to 322.99, 445.80 and 218.19

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Solution

The fourth proportional to 322.99, 445.80 and 218.19 is: 301.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.99 : 445.80 = 218.19 : x
  2. Step 2: Convert to fraction form
    322.99/445.80 = 218.19/x
  3. Step 3: Cross multiply
    322.99x = 445.80 × 218.19
  4. Step 4: Simplify right side
    322.99x = 97,271.59
  5. Step 5: Solve for x
    x = 97,271.59/322.99
  6. Step 6: Final answer
    x = 301.16

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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.