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Finding the Fourth Proportional to 149.82, 206.66 and 103.11

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Solution

The fourth proportional to 149.82, 206.66 and 103.11 is: 142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.82 : 206.66 = 103.11 : x
  2. Step 2: Convert to fraction form
    149.82/206.66 = 103.11/x
  3. Step 3: Cross multiply
    149.82x = 206.66 × 103.11
  4. Step 4: Simplify right side
    149.82x = 21,308.20
  5. Step 5: Solve for x
    x = 21,308.20/149.82
  6. Step 6: Final answer
    x = 142.23

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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.