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Finding the Fourth Proportional to 222.51, 305.59 and 182.91

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Solution

The fourth proportional to 222.51, 305.59 and 182.91 is: 251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.51 : 305.59 = 182.91 : x
  2. Step 2: Convert to fraction form
    222.51/305.59 = 182.91/x
  3. Step 3: Cross multiply
    222.51x = 305.59 × 182.91
  4. Step 4: Simplify right side
    222.51x = 55,895.01
  5. Step 5: Solve for x
    x = 55,895.01/222.51
  6. Step 6: Final answer
    x = 251.20

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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.