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Finding the Fourth Proportional to 222.96, 305.46 and 214.32

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Solution

The fourth proportional to 222.96, 305.46 and 214.32 is: 293.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.96 : 305.46 = 214.32 : x
  2. Step 2: Convert to fraction form
    222.96/305.46 = 214.32/x
  3. Step 3: Cross multiply
    222.96x = 305.46 × 214.32
  4. Step 4: Simplify right side
    222.96x = 65,466.19
  5. Step 5: Solve for x
    x = 65,466.19/222.96
  6. Step 6: Final answer
    x = 293.62

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.