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Finding the Fourth Proportional to 321.72, 480.08 and 285.27

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Solution

The fourth proportional to 321.72, 480.08 and 285.27 is: 425.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.72 : 480.08 = 285.27 : x
  2. Step 2: Convert to fraction form
    321.72/480.08 = 285.27/x
  3. Step 3: Cross multiply
    321.72x = 480.08 × 285.27
  4. Step 4: Simplify right side
    321.72x = 136,951.00
  5. Step 5: Solve for x
    x = 136,951.00/321.72
  6. Step 6: Final answer
    x = 425.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.