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Finding the Fourth Proportional to 222.62, 308.63 and 210.33

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Solution

The fourth proportional to 222.62, 308.63 and 210.33 is: 291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.62 : 308.63 = 210.33 : x
  2. Step 2: Convert to fraction form
    222.62/308.63 = 210.33/x
  3. Step 3: Cross multiply
    222.62x = 308.63 × 210.33
  4. Step 4: Simplify right side
    222.62x = 64,914.67
  5. Step 5: Solve for x
    x = 64,914.67/222.62
  6. Step 6: Final answer
    x = 291.60

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.