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Finding the Fourth Proportional to 222.77, 305.72 and 201.98

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Solution

The fourth proportional to 222.77, 305.72 and 201.98 is: 277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.77 : 305.72 = 201.98 : x
  2. Step 2: Convert to fraction form
    222.77/305.72 = 201.98/x
  3. Step 3: Cross multiply
    222.77x = 305.72 × 201.98
  4. Step 4: Simplify right side
    222.77x = 61,746.79
  5. Step 5: Solve for x
    x = 61,746.79/222.77
  6. Step 6: Final answer
    x = 277.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.