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Finding the Fourth Proportional to 208.93, 286.37 and 208.58

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Solution

The fourth proportional to 208.93, 286.37 and 208.58 is: 285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.93 : 286.37 = 208.58 : x
  2. Step 2: Convert to fraction form
    208.93/286.37 = 208.58/x
  3. Step 3: Cross multiply
    208.93x = 286.37 × 208.58
  4. Step 4: Simplify right side
    208.93x = 59,731.05
  5. Step 5: Solve for x
    x = 59,731.05/208.93
  6. Step 6: Final answer
    x = 285.89

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.