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Finding the Fourth Proportional to 222.96, 308.08 and 184.08

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Solution

The fourth proportional to 222.96, 308.08 and 184.08 is: 254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.96 : 308.08 = 184.08 : x
  2. Step 2: Convert to fraction form
    222.96/308.08 = 184.08/x
  3. Step 3: Cross multiply
    222.96x = 308.08 × 184.08
  4. Step 4: Simplify right side
    222.96x = 56,711.37
  5. Step 5: Solve for x
    x = 56,711.37/222.96
  6. Step 6: Final answer
    x = 254.36

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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.