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Finding the Fourth Proportional to 322.29, 485.21 and 284.00

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Solution

The fourth proportional to 322.29, 485.21 and 284.00 is: 427.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.29 : 485.21 = 284.00 : x
  2. Step 2: Convert to fraction form
    322.29/485.21 = 284.00/x
  3. Step 3: Cross multiply
    322.29x = 485.21 × 284.00
  4. Step 4: Simplify right side
    322.29x = 137,797.92
  5. Step 5: Solve for x
    x = 137,797.92/322.29
  6. Step 6: Final answer
    x = 427.56

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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.