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Finding the Fourth Proportional to 222.06, 306.90 and 200.10

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Solution

The fourth proportional to 222.06, 306.90 and 200.10 is: 276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.06 : 306.90 = 200.10 : x
  2. Step 2: Convert to fraction form
    222.06/306.90 = 200.10/x
  3. Step 3: Cross multiply
    222.06x = 306.90 × 200.10
  4. Step 4: Simplify right side
    222.06x = 61,410.69
  5. Step 5: Solve for x
    x = 61,410.69/222.06
  6. Step 6: Final answer
    x = 276.55

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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.