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Finding the Fourth Proportional to 109.63, 165.18 and 99.22

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Solution

The fourth proportional to 109.63, 165.18 and 99.22 is: 149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.63 : 165.18 = 99.22 : x
  2. Step 2: Convert to fraction form
    109.63/165.18 = 99.22/x
  3. Step 3: Cross multiply
    109.63x = 165.18 × 99.22
  4. Step 4: Simplify right side
    109.63x = 16,388.66
  5. Step 5: Solve for x
    x = 16,388.66/109.63
  6. Step 6: Final answer
    x = 149.49

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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.