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Finding the Fourth Proportional to 109.68, 165.40 and 107.79

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Solution

The fourth proportional to 109.68, 165.40 and 107.79 is: 162.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.68 : 165.40 = 107.79 : x
  2. Step 2: Convert to fraction form
    109.68/165.40 = 107.79/x
  3. Step 3: Cross multiply
    109.68x = 165.40 × 107.79
  4. Step 4: Simplify right side
    109.68x = 17,828.47
  5. Step 5: Solve for x
    x = 17,828.47/109.68
  6. Step 6: Final answer
    x = 162.55

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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.