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Finding the Fourth Proportional to 192.88, 290.71 and 184.12

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Solution

The fourth proportional to 192.88, 290.71 and 184.12 is: 277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.88 : 290.71 = 184.12 : x
  2. Step 2: Convert to fraction form
    192.88/290.71 = 184.12/x
  3. Step 3: Cross multiply
    192.88x = 290.71 × 184.12
  4. Step 4: Simplify right side
    192.88x = 53,525.53
  5. Step 5: Solve for x
    x = 53,525.53/192.88
  6. Step 6: Final answer
    x = 277.51

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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.