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Finding the Fourth Proportional to 208.54, 314.42 and 194.62

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Solution

The fourth proportional to 208.54, 314.42 and 194.62 is: 293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.54 : 314.42 = 194.62 : x
  2. Step 2: Convert to fraction form
    208.54/314.42 = 194.62/x
  3. Step 3: Cross multiply
    208.54x = 314.42 × 194.62
  4. Step 4: Simplify right side
    208.54x = 61,192.42
  5. Step 5: Solve for x
    x = 61,192.42/208.54
  6. Step 6: Final answer
    x = 293.43

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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.