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Finding the Fourth Proportional to 208.90, 286.58 and 203.52

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Solution

The fourth proportional to 208.90, 286.58 and 203.52 is: 279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.90 : 286.58 = 203.52 : x
  2. Step 2: Convert to fraction form
    208.90/286.58 = 203.52/x
  3. Step 3: Cross multiply
    208.90x = 286.58 × 203.52
  4. Step 4: Simplify right side
    208.90x = 58,324.76
  5. Step 5: Solve for x
    x = 58,324.76/208.90
  6. Step 6: Final answer
    x = 279.20

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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.