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Finding the Fourth Proportional to 306.72, 422.64 and 208.08

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Solution

The fourth proportional to 306.72, 422.64 and 208.08 is: 286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.72 : 422.64 = 208.08 : x
  2. Step 2: Convert to fraction form
    306.72/422.64 = 208.08/x
  3. Step 3: Cross multiply
    306.72x = 422.64 × 208.08
  4. Step 4: Simplify right side
    306.72x = 87,942.93
  5. Step 5: Solve for x
    x = 87,942.93/306.72
  6. Step 6: Final answer
    x = 286.72

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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.