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Finding the Fourth Proportional to 208.92, 315.75 and 197.04

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Solution

The fourth proportional to 208.92, 315.75 and 197.04 is: 297.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.92 : 315.75 = 197.04 : x
  2. Step 2: Convert to fraction form
    208.92/315.75 = 197.04/x
  3. Step 3: Cross multiply
    208.92x = 315.75 × 197.04
  4. Step 4: Simplify right side
    208.92x = 62,215.38
  5. Step 5: Solve for x
    x = 62,215.38/208.92
  6. Step 6: Final answer
    x = 297.80

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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.