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Finding the Fourth Proportional to 222.32, 304.60 and 214.14

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Solution

The fourth proportional to 222.32, 304.60 and 214.14 is: 293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.32 : 304.60 = 214.14 : x
  2. Step 2: Convert to fraction form
    222.32/304.60 = 214.14/x
  3. Step 3: Cross multiply
    222.32x = 304.60 × 214.14
  4. Step 4: Simplify right side
    222.32x = 65,227.04
  5. Step 5: Solve for x
    x = 65,227.04/222.32
  6. Step 6: Final answer
    x = 293.39

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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.