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Finding the Fourth Proportional to 196.40, 295.79 and 164.21

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Solution

The fourth proportional to 196.40, 295.79 and 164.21 is: 247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.40 : 295.79 = 164.21 : x
  2. Step 2: Convert to fraction form
    196.40/295.79 = 164.21/x
  3. Step 3: Cross multiply
    196.40x = 295.79 × 164.21
  4. Step 4: Simplify right side
    196.40x = 48,569.38
  5. Step 5: Solve for x
    x = 48,569.38/196.40
  6. Step 6: Final answer
    x = 247.30

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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.