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Finding the Fourth Proportional to 484.22, 668.54 and 287.80

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Solution

The fourth proportional to 484.22, 668.54 and 287.80 is: 397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.22 : 668.54 = 287.80 : x
  2. Step 2: Convert to fraction form
    484.22/668.54 = 287.80/x
  3. Step 3: Cross multiply
    484.22x = 668.54 × 287.80
  4. Step 4: Simplify right side
    484.22x = 192,405.81
  5. Step 5: Solve for x
    x = 192,405.81/484.22
  6. Step 6: Final answer
    x = 397.35

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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.