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Finding the Fourth Proportional to 222.55, 306.76 and 175.84

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Solution

The fourth proportional to 222.55, 306.76 and 175.84 is: 242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.55 : 306.76 = 175.84 : x
  2. Step 2: Convert to fraction form
    222.55/306.76 = 175.84/x
  3. Step 3: Cross multiply
    222.55x = 306.76 × 175.84
  4. Step 4: Simplify right side
    222.55x = 53,939.86
  5. Step 5: Solve for x
    x = 53,939.86/222.55
  6. Step 6: Final answer
    x = 242.37

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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.