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Finding the Fourth Proportional to 481.65, 722.46 and 193.08

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Solution

The fourth proportional to 481.65, 722.46 and 193.08 is: 289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.65 : 722.46 = 193.08 : x
  2. Step 2: Convert to fraction form
    481.65/722.46 = 193.08/x
  3. Step 3: Cross multiply
    481.65x = 722.46 × 193.08
  4. Step 4: Simplify right side
    481.65x = 139,496.01
  5. Step 5: Solve for x
    x = 139,496.01/481.65
  6. Step 6: Final answer
    x = 289.62

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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.