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Finding the Fourth Proportional to 222.82, 307.38 and 139.77

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Solution

The fourth proportional to 222.82, 307.38 and 139.77 is: 192.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.82 : 307.38 = 139.77 : x
  2. Step 2: Convert to fraction form
    222.82/307.38 = 139.77/x
  3. Step 3: Cross multiply
    222.82x = 307.38 × 139.77
  4. Step 4: Simplify right side
    222.82x = 42,961.80
  5. Step 5: Solve for x
    x = 42,961.80/222.82
  6. Step 6: Final answer
    x = 192.81

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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.