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Finding the Fourth Proportional to 222.18, 305.87 and 185.27

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Solution

The fourth proportional to 222.18, 305.87 and 185.27 is: 255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.18 : 305.87 = 185.27 : x
  2. Step 2: Convert to fraction form
    222.18/305.87 = 185.27/x
  3. Step 3: Cross multiply
    222.18x = 305.87 × 185.27
  4. Step 4: Simplify right side
    222.18x = 56,666.08
  5. Step 5: Solve for x
    x = 56,666.08/222.18
  6. Step 6: Final answer
    x = 255.05

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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.