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Finding the Fourth Proportional to 222.89, 335.58 and 193.13

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Solution

The fourth proportional to 222.89, 335.58 and 193.13 is: 290.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.89 : 335.58 = 193.13 : x
  2. Step 2: Convert to fraction form
    222.89/335.58 = 193.13/x
  3. Step 3: Cross multiply
    222.89x = 335.58 × 193.13
  4. Step 4: Simplify right side
    222.89x = 64,808.53
  5. Step 5: Solve for x
    x = 64,808.53/222.89
  6. Step 6: Final answer
    x = 290.76

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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.