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Finding the Fourth Proportional to 222.24, 306.54 and 175.80

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Solution

The fourth proportional to 222.24, 306.54 and 175.80 is: 242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.24 : 306.54 = 175.80 : x
  2. Step 2: Convert to fraction form
    222.24/306.54 = 175.80/x
  3. Step 3: Cross multiply
    222.24x = 306.54 × 175.80
  4. Step 4: Simplify right side
    222.24x = 53,889.73
  5. Step 5: Solve for x
    x = 53,889.73/222.24
  6. Step 6: Final answer
    x = 242.48

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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.