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Finding the Fourth Proportional to 208.30, 314.21 and 197.23

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Solution

The fourth proportional to 208.30, 314.21 and 197.23 is: 297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.30 : 314.21 = 197.23 : x
  2. Step 2: Convert to fraction form
    208.30/314.21 = 197.23/x
  3. Step 3: Cross multiply
    208.30x = 314.21 × 197.23
  4. Step 4: Simplify right side
    208.30x = 61,971.64
  5. Step 5: Solve for x
    x = 61,971.64/208.30
  6. Step 6: Final answer
    x = 297.51

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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.