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Finding the Fourth Proportional to 222.60, 307.86 and 199.26

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Solution

The fourth proportional to 222.60, 307.86 and 199.26 is: 275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.60 : 307.86 = 199.26 : x
  2. Step 2: Convert to fraction form
    222.60/307.86 = 199.26/x
  3. Step 3: Cross multiply
    222.60x = 307.86 × 199.26
  4. Step 4: Simplify right side
    222.60x = 61,344.18
  5. Step 5: Solve for x
    x = 61,344.18/222.60
  6. Step 6: Final answer
    x = 275.58

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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.