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Finding the Fourth Proportional to 192.59, 290.27 and 165.86

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Solution

The fourth proportional to 192.59, 290.27 and 165.86 is: 249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.59 : 290.27 = 165.86 : x
  2. Step 2: Convert to fraction form
    192.59/290.27 = 165.86/x
  3. Step 3: Cross multiply
    192.59x = 290.27 × 165.86
  4. Step 4: Simplify right side
    192.59x = 48,142.52
  5. Step 5: Solve for x
    x = 48,142.52/192.59
  6. Step 6: Final answer
    x = 249.98

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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.