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Finding the Fourth Proportional to 188.21, 283.44 and 165.63

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Solution

The fourth proportional to 188.21, 283.44 and 165.63 is: 249.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.21 : 283.44 = 165.63 : x
  2. Step 2: Convert to fraction form
    188.21/283.44 = 165.63/x
  3. Step 3: Cross multiply
    188.21x = 283.44 × 165.63
  4. Step 4: Simplify right side
    188.21x = 46,944.48
  5. Step 5: Solve for x
    x = 46,944.48/188.21
  6. Step 6: Final answer
    x = 249.43

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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.