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Finding the Fourth Proportional to 208.86, 308.92 and 208.86

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Solution

The fourth proportional to 208.86, 308.92 and 208.86 is: 308.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.86 : 308.92 = 208.86 : x
  2. Step 2: Convert to fraction form
    208.86/308.92 = 208.86/x
  3. Step 3: Cross multiply
    208.86x = 308.92 × 208.86
  4. Step 4: Simplify right side
    208.86x = 64,521.03
  5. Step 5: Solve for x
    x = 64,521.03/208.86
  6. Step 6: Final answer
    x = 308.92

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.