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Finding the Fourth Proportional to 222.24, 332.64 and 181.76

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Solution

The fourth proportional to 222.24, 332.64 and 181.76 is: 272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.24 : 332.64 = 181.76 : x
  2. Step 2: Convert to fraction form
    222.24/332.64 = 181.76/x
  3. Step 3: Cross multiply
    222.24x = 332.64 × 181.76
  4. Step 4: Simplify right side
    222.24x = 60,460.65
  5. Step 5: Solve for x
    x = 60,460.65/222.24
  6. Step 6: Final answer
    x = 272.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.