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Finding the Fourth Proportional to 222.98, 334.29 and 114.74

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Solution

The fourth proportional to 222.98, 334.29 and 114.74 is: 172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.98 : 334.29 = 114.74 : x
  2. Step 2: Convert to fraction form
    222.98/334.29 = 114.74/x
  3. Step 3: Cross multiply
    222.98x = 334.29 × 114.74
  4. Step 4: Simplify right side
    222.98x = 38,356.43
  5. Step 5: Solve for x
    x = 38,356.43/222.98
  6. Step 6: Final answer
    x = 172.02

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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.