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Finding the Fourth Proportional to 222.68, 307.36 and 134.22

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Solution

The fourth proportional to 222.68, 307.36 and 134.22 is: 185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.68 : 307.36 = 134.22 : x
  2. Step 2: Convert to fraction form
    222.68/307.36 = 134.22/x
  3. Step 3: Cross multiply
    222.68x = 307.36 × 134.22
  4. Step 4: Simplify right side
    222.68x = 41,253.86
  5. Step 5: Solve for x
    x = 41,253.86/222.68
  6. Step 6: Final answer
    x = 185.26

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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.