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Finding the Fourth Proportional to 306.46, 423.12 and 208.36

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Solution

The fourth proportional to 306.46, 423.12 and 208.36 is: 287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.46 : 423.12 = 208.36 : x
  2. Step 2: Convert to fraction form
    306.46/423.12 = 208.36/x
  3. Step 3: Cross multiply
    306.46x = 423.12 × 208.36
  4. Step 4: Simplify right side
    306.46x = 88,161.28
  5. Step 5: Solve for x
    x = 88,161.28/306.46
  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.