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Finding the Fourth Proportional to 484.37, 668.22 and 287.78

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Solution

The fourth proportional to 484.37, 668.22 and 287.78 is: 397.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.37 : 668.22 = 287.78 : x
  2. Step 2: Convert to fraction form
    484.37/668.22 = 287.78/x
  3. Step 3: Cross multiply
    484.37x = 668.22 × 287.78
  4. Step 4: Simplify right side
    484.37x = 192,297.01
  5. Step 5: Solve for x
    x = 192,297.01/484.37
  6. Step 6: Final answer
    x = 397.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.