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Finding the Fourth Proportional to 196.09, 295.58 and 187.85

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Solution

The fourth proportional to 196.09, 295.58 and 187.85 is: 283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.09 : 295.58 = 187.85 : x
  2. Step 2: Convert to fraction form
    196.09/295.58 = 187.85/x
  3. Step 3: Cross multiply
    196.09x = 295.58 × 187.85
  4. Step 4: Simplify right side
    196.09x = 55,525.91
  5. Step 5: Solve for x
    x = 55,525.91/196.09
  6. Step 6: Final answer
    x = 283.17

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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.