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Finding the Fourth Proportional to 208.18, 287.36 and 186.31

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Solution

The fourth proportional to 208.18, 287.36 and 186.31 is: 257.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.18 : 287.36 = 186.31 : x
  2. Step 2: Convert to fraction form
    208.18/287.36 = 186.31/x
  3. Step 3: Cross multiply
    208.18x = 287.36 × 186.31
  4. Step 4: Simplify right side
    208.18x = 53,537.07
  5. Step 5: Solve for x
    x = 53,537.07/208.18
  6. Step 6: Final answer
    x = 257.17

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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.