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Finding the Fourth Proportional to 454.09, 681.29 and 222.98

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Solution

The fourth proportional to 454.09, 681.29 and 222.98 is: 334.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.09 : 681.29 = 222.98 : x
  2. Step 2: Convert to fraction form
    454.09/681.29 = 222.98/x
  3. Step 3: Cross multiply
    454.09x = 681.29 × 222.98
  4. Step 4: Simplify right side
    454.09x = 151,914.63
  5. Step 5: Solve for x
    x = 151,914.63/454.09
  6. Step 6: Final answer
    x = 334.55

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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.