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Finding the Fourth Proportional to 321.93, 483.21 and 285.69

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Solution

The fourth proportional to 321.93, 483.21 and 285.69 is: 428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.93 : 483.21 = 285.69 : x
  2. Step 2: Convert to fraction form
    321.93/483.21 = 285.69/x
  3. Step 3: Cross multiply
    321.93x = 483.21 × 285.69
  4. Step 4: Simplify right side
    321.93x = 138,048.26
  5. Step 5: Solve for x
    x = 138,048.26/321.93
  6. Step 6: Final answer
    x = 428.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.