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Finding the Fourth Proportional to 222.60, 334.38 and 214.50

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Solution

The fourth proportional to 222.60, 334.38 and 214.50 is: 322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.60 : 334.38 = 214.50 : x
  2. Step 2: Convert to fraction form
    222.60/334.38 = 214.50/x
  3. Step 3: Cross multiply
    222.60x = 334.38 × 214.50
  4. Step 4: Simplify right side
    222.60x = 71,724.51
  5. Step 5: Solve for x
    x = 71,724.51/222.60
  6. Step 6: Final answer
    x = 322.21

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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.