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Finding the Fourth Proportional to 208.16, 286.80 and 185.76

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Solution

The fourth proportional to 208.16, 286.80 and 185.76 is: 255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.16 : 286.80 = 185.76 : x
  2. Step 2: Convert to fraction form
    208.16/286.80 = 185.76/x
  3. Step 3: Cross multiply
    208.16x = 286.80 × 185.76
  4. Step 4: Simplify right side
    208.16x = 53,275.97
  5. Step 5: Solve for x
    x = 53,275.97/208.16
  6. Step 6: Final answer
    x = 255.94

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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.