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Finding the Fourth Proportional to 222.76, 305.19 and 214.45

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Solution

The fourth proportional to 222.76, 305.19 and 214.45 is: 293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.76 : 305.19 = 214.45 : x
  2. Step 2: Convert to fraction form
    222.76/305.19 = 214.45/x
  3. Step 3: Cross multiply
    222.76x = 305.19 × 214.45
  4. Step 4: Simplify right side
    222.76x = 65,448.00
  5. Step 5: Solve for x
    x = 65,448.00/222.76
  6. Step 6: Final answer
    x = 293.80

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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.