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Finding the Fourth Proportional to 222.71, 307.35 and 139.82

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Solution

The fourth proportional to 222.71, 307.35 and 139.82 is: 192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.71 : 307.35 = 139.82 : x
  2. Step 2: Convert to fraction form
    222.71/307.35 = 139.82/x
  3. Step 3: Cross multiply
    222.71x = 307.35 × 139.82
  4. Step 4: Simplify right side
    222.71x = 42,972.14
  5. Step 5: Solve for x
    x = 42,972.14/222.71
  6. Step 6: Final answer
    x = 192.96

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