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Finding the Fourth Proportional to 222.87, 307.74 and 199.52

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Solution

The fourth proportional to 222.87, 307.74 and 199.52 is: 275.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.87 : 307.74 = 199.52 : x
  2. Step 2: Convert to fraction form
    222.87/307.74 = 199.52/x
  3. Step 3: Cross multiply
    222.87x = 307.74 × 199.52
  4. Step 4: Simplify right side
    222.87x = 61,398.75
  5. Step 5: Solve for x
    x = 61,398.75/222.87
  6. Step 6: Final answer
    x = 275.49

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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.