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Finding the Fourth Proportional to 192.55, 290.40 and 186.39

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Solution

The fourth proportional to 192.55, 290.40 and 186.39 is: 281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.55 : 290.40 = 186.39 : x
  2. Step 2: Convert to fraction form
    192.55/290.40 = 186.39/x
  3. Step 3: Cross multiply
    192.55x = 290.40 × 186.39
  4. Step 4: Simplify right side
    192.55x = 54,125.27
  5. Step 5: Solve for x
    x = 54,125.27/192.55
  6. Step 6: Final answer
    x = 281.10

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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.