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Finding the Fourth Proportional to 208.19, 285.42 and 203.03

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Solution

The fourth proportional to 208.19, 285.42 and 203.03 is: 278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.19 : 285.42 = 203.03 : x
  2. Step 2: Convert to fraction form
    208.19/285.42 = 203.03/x
  3. Step 3: Cross multiply
    208.19x = 285.42 × 203.03
  4. Step 4: Simplify right side
    208.19x = 57,947.40
  5. Step 5: Solve for x
    x = 57,947.40/208.19
  6. Step 6: Final answer
    x = 278.35

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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.