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Finding the Fourth Proportional to 118.32, 162.37 and 107.32

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Solution

The fourth proportional to 118.32, 162.37 and 107.32 is: 147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.32 : 162.37 = 107.32 : x
  2. Step 2: Convert to fraction form
    118.32/162.37 = 107.32/x
  3. Step 3: Cross multiply
    118.32x = 162.37 × 107.32
  4. Step 4: Simplify right side
    118.32x = 17,425.55
  5. Step 5: Solve for x
    x = 17,425.55/118.32
  6. Step 6: Final answer
    x = 147.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.