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Finding the Fourth Proportional to 222.40, 309.19 and 222.40

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Solution

The fourth proportional to 222.40, 309.19 and 222.40 is: 309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.40 : 309.19 = 222.40 : x
  2. Step 2: Convert to fraction form
    222.40/309.19 = 222.40/x
  3. Step 3: Cross multiply
    222.40x = 309.19 × 222.40
  4. Step 4: Simplify right side
    222.40x = 68,763.86
  5. Step 5: Solve for x
    x = 68,763.86/222.40
  6. Step 6: Final answer
    x = 309.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.