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Finding the Fourth Proportional to 306.69, 423.25 and 173.94

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Solution

The fourth proportional to 306.69, 423.25 and 173.94 is: 240.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.69 : 423.25 = 173.94 : x
  2. Step 2: Convert to fraction form
    306.69/423.25 = 173.94/x
  3. Step 3: Cross multiply
    306.69x = 423.25 × 173.94
  4. Step 4: Simplify right side
    306.69x = 73,619.24
  5. Step 5: Solve for x
    x = 73,619.24/306.69
  6. Step 6: Final answer
    x = 240.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.