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Finding the Fourth Proportional to 222.82, 307.53 and 138.78

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Solution

The fourth proportional to 222.82, 307.53 and 138.78 is: 191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.82 : 307.53 = 138.78 : x
  2. Step 2: Convert to fraction form
    222.82/307.53 = 138.78/x
  3. Step 3: Cross multiply
    222.82x = 307.53 × 138.78
  4. Step 4: Simplify right side
    222.82x = 42,679.01
  5. Step 5: Solve for x
    x = 42,679.01/222.82
  6. Step 6: Final answer
    x = 191.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.