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Finding the Fourth Proportional to 208.40, 285.89 and 203.00

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Solution

The fourth proportional to 208.40, 285.89 and 203.00 is: 278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.40 : 285.89 = 203.00 : x
  2. Step 2: Convert to fraction form
    208.40/285.89 = 203.00/x
  3. Step 3: Cross multiply
    208.40x = 285.89 × 203.00
  4. Step 4: Simplify right side
    208.40x = 58,033.23
  5. Step 5: Solve for x
    x = 58,033.23/208.40
  6. Step 6: Final answer
    x = 278.48

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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.