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Finding the Fourth Proportional to 306.72, 423.14 and 208.61

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Solution

The fourth proportional to 306.72, 423.14 and 208.61 is: 287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.72 : 423.14 = 208.61 : x
  2. Step 2: Convert to fraction form
    306.72/423.14 = 208.61/x
  3. Step 3: Cross multiply
    306.72x = 423.14 × 208.61
  4. Step 4: Simplify right side
    306.72x = 88,271.24
  5. Step 5: Solve for x
    x = 88,271.24/306.72
  6. Step 6: Final answer
    x = 287.79

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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.