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Finding the Fourth Proportional to 188.28, 280.44 and 165.24

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Solution

The fourth proportional to 188.28, 280.44 and 165.24 is: 246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.28 : 280.44 = 165.24 : x
  2. Step 2: Convert to fraction form
    188.28/280.44 = 165.24/x
  3. Step 3: Cross multiply
    188.28x = 280.44 × 165.24
  4. Step 4: Simplify right side
    188.28x = 46,339.91
  5. Step 5: Solve for x
    x = 46,339.91/188.28
  6. Step 6: Final answer
    x = 246.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.