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Finding the Fourth Proportional to 222.56, 307 and 193.16

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Solution

The fourth proportional to 222.56, 307 and 193.16 is: 266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.56 : 307 = 193.16 : x
  2. Step 2: Convert to fraction form
    222.56/307 = 193.16/x
  3. Step 3: Cross multiply
    222.56x = 307 × 193.16
  4. Step 4: Simplify right side
    222.56x = 59,300.12
  5. Step 5: Solve for x
    x = 59,300.12/222.56
  6. Step 6: Final answer
    x = 266.45

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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.