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Finding the Fourth Proportional to 306.75, 423.23 and 175.74

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Solution

The fourth proportional to 306.75, 423.23 and 175.74 is: 242.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.75 : 423.23 = 175.74 : x
  2. Step 2: Convert to fraction form
    306.75/423.23 = 175.74/x
  3. Step 3: Cross multiply
    306.75x = 423.23 × 175.74
  4. Step 4: Simplify right side
    306.75x = 74,375.97
  5. Step 5: Solve for x
    x = 74,375.97/306.75
  6. Step 6: Final answer
    x = 242.46

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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.