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Finding the Fourth Proportional to 222.13, 334.43 and 203.01

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Solution

The fourth proportional to 222.13, 334.43 and 203.01 is: 305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.13 : 334.43 = 203.01 : x
  2. Step 2: Convert to fraction form
    222.13/334.43 = 203.01/x
  3. Step 3: Cross multiply
    222.13x = 334.43 × 203.01
  4. Step 4: Simplify right side
    222.13x = 67,892.63
  5. Step 5: Solve for x
    x = 67,892.63/222.13
  6. Step 6: Final answer
    x = 305.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.