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Finding the Fourth Proportional to 306.76, 423.14 and 208.56

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Solution

The fourth proportional to 306.76, 423.14 and 208.56 is: 287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.76 : 423.14 = 208.56 : x
  2. Step 2: Convert to fraction form
    306.76/423.14 = 208.56/x
  3. Step 3: Cross multiply
    306.76x = 423.14 × 208.56
  4. Step 4: Simplify right side
    306.76x = 88,250.08
  5. Step 5: Solve for x
    x = 88,250.08/306.76
  6. Step 6: Final answer
    x = 287.68

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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.