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Finding the Fourth Proportional to 165.05, 246.35 and 124.28

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Solution

The fourth proportional to 165.05, 246.35 and 124.28 is: 185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.05 : 246.35 = 124.28 : x
  2. Step 2: Convert to fraction form
    165.05/246.35 = 124.28/x
  3. Step 3: Cross multiply
    165.05x = 246.35 × 124.28
  4. Step 4: Simplify right side
    165.05x = 30,614.52
  5. Step 5: Solve for x
    x = 30,614.52/165.05
  6. Step 6: Final answer
    x = 185.49

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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.