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Finding the Fourth Proportional to 481.90, 722.16 and 360.08

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Solution

The fourth proportional to 481.90, 722.16 and 360.08 is: 539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.90 : 722.16 = 360.08 : x
  2. Step 2: Convert to fraction form
    481.90/722.16 = 360.08/x
  3. Step 3: Cross multiply
    481.90x = 722.16 × 360.08
  4. Step 4: Simplify right side
    481.90x = 260,035.37
  5. Step 5: Solve for x
    x = 260,035.37/481.90
  6. Step 6: Final answer
    x = 539.60

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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.