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Finding the Fourth Proportional to 192.77, 290.68 and 189.12

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Solution

The fourth proportional to 192.77, 290.68 and 189.12 is: 285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.77 : 290.68 = 189.12 : x
  2. Step 2: Convert to fraction form
    192.77/290.68 = 189.12/x
  3. Step 3: Cross multiply
    192.77x = 290.68 × 189.12
  4. Step 4: Simplify right side
    192.77x = 54,973.40
  5. Step 5: Solve for x
    x = 54,973.40/192.77
  6. Step 6: Final answer
    x = 285.18

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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.