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Finding the Fourth Proportional to 208.41, 313.77 and 184.18

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Solution

The fourth proportional to 208.41, 313.77 and 184.18 is: 277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.41 : 313.77 = 184.18 : x
  2. Step 2: Convert to fraction form
    208.41/313.77 = 184.18/x
  3. Step 3: Cross multiply
    208.41x = 313.77 × 184.18
  4. Step 4: Simplify right side
    208.41x = 57,789.48
  5. Step 5: Solve for x
    x = 57,789.48/208.41
  6. Step 6: Final answer
    x = 277.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.