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Finding the Fourth Proportional to 222.38, 307.04 and 180.87

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Solution

The fourth proportional to 222.38, 307.04 and 180.87 is: 249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.38 : 307.04 = 180.87 : x
  2. Step 2: Convert to fraction form
    222.38/307.04 = 180.87/x
  3. Step 3: Cross multiply
    222.38x = 307.04 × 180.87
  4. Step 4: Simplify right side
    222.38x = 55,531.89
  5. Step 5: Solve for x
    x = 55,531.89/222.38
  6. Step 6: Final answer
    x = 249.72

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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.