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Finding the Fourth Proportional to 109.17, 165.00 and 107.28

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Solution

The fourth proportional to 109.17, 165.00 and 107.28 is: 162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.17 : 165.00 = 107.28 : x
  2. Step 2: Convert to fraction form
    109.17/165.00 = 107.28/x
  3. Step 3: Cross multiply
    109.17x = 165.00 × 107.28
  4. Step 4: Simplify right side
    109.17x = 17,700.66
  5. Step 5: Solve for x
    x = 17,700.66/109.17
  6. Step 6: Final answer
    x = 162.14

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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.