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Finding the Fourth Proportional to 208.36, 287.34 and 186.20

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Solution

The fourth proportional to 208.36, 287.34 and 186.20 is: 256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.36 : 287.34 = 186.20 : x
  2. Step 2: Convert to fraction form
    208.36/287.34 = 186.20/x
  3. Step 3: Cross multiply
    208.36x = 287.34 × 186.20
  4. Step 4: Simplify right side
    208.36x = 53,502.71
  5. Step 5: Solve for x
    x = 53,502.71/208.36
  6. Step 6: Final answer
    x = 256.78

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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.