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Finding the Fourth Proportional to 196.88, 295.75 and 128.51

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Solution

The fourth proportional to 196.88, 295.75 and 128.51 is: 193.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.88 : 295.75 = 128.51 : x
  2. Step 2: Convert to fraction form
    196.88/295.75 = 128.51/x
  3. Step 3: Cross multiply
    196.88x = 295.75 × 128.51
  4. Step 4: Simplify right side
    196.88x = 38,005.03
  5. Step 5: Solve for x
    x = 38,005.03/196.88
  6. Step 6: Final answer
    x = 193.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.