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Finding the Fourth Proportional to 109.62, 165.07 and 99.30

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Solution

The fourth proportional to 109.62, 165.07 and 99.30 is: 149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.62 : 165.07 = 99.30 : x
  2. Step 2: Convert to fraction form
    109.62/165.07 = 99.30/x
  3. Step 3: Cross multiply
    109.62x = 165.07 × 99.30
  4. Step 4: Simplify right side
    109.62x = 16,391.45
  5. Step 5: Solve for x
    x = 16,391.45/109.62
  6. Step 6: Final answer
    x = 149.53

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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.