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Finding the Fourth Proportional to 109.03, 150.38 and 79.64

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Solution

The fourth proportional to 109.03, 150.38 and 79.64 is: 109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.03 : 150.38 = 79.64 : x
  2. Step 2: Convert to fraction form
    109.03/150.38 = 79.64/x
  3. Step 3: Cross multiply
    109.03x = 150.38 × 79.64
  4. Step 4: Simplify right side
    109.03x = 11,976.26
  5. Step 5: Solve for x
    x = 11,976.26/109.03
  6. Step 6: Final answer
    x = 109.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.