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Finding the Fourth Proportional to 322.12, 485.71 and 299.08

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Solution

The fourth proportional to 322.12, 485.71 and 299.08 is: 450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.12 : 485.71 = 299.08 : x
  2. Step 2: Convert to fraction form
    322.12/485.71 = 299.08/x
  3. Step 3: Cross multiply
    322.12x = 485.71 × 299.08
  4. Step 4: Simplify right side
    322.12x = 145,266.15
  5. Step 5: Solve for x
    x = 145,266.15/322.12
  6. Step 6: Final answer
    x = 450.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.