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Finding the Fourth Proportional to 208.45, 287.04 and 203.66

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Solution

The fourth proportional to 208.45, 287.04 and 203.66 is: 280.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.45 : 287.04 = 203.66 : x
  2. Step 2: Convert to fraction form
    208.45/287.04 = 203.66/x
  3. Step 3: Cross multiply
    208.45x = 287.04 × 203.66
  4. Step 4: Simplify right side
    208.45x = 58,460.59
  5. Step 5: Solve for x
    x = 58,460.59/208.45
  6. Step 6: Final answer
    x = 280.46

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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.