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Finding the Fourth Proportional to 320.98, 481.80 and 284.65

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Solution

The fourth proportional to 320.98, 481.80 and 284.65 is: 427.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.98 : 481.80 = 284.65 : x
  2. Step 2: Convert to fraction form
    320.98/481.80 = 284.65/x
  3. Step 3: Cross multiply
    320.98x = 481.80 × 284.65
  4. Step 4: Simplify right side
    320.98x = 137,144.37
  5. Step 5: Solve for x
    x = 137,144.37/320.98
  6. Step 6: Final answer
    x = 427.27

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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.