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Finding the Fourth Proportional to 149.29, 205.94 and 100.20

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Solution

The fourth proportional to 149.29, 205.94 and 100.20 is: 138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.29 : 205.94 = 100.20 : x
  2. Step 2: Convert to fraction form
    149.29/205.94 = 100.20/x
  3. Step 3: Cross multiply
    149.29x = 205.94 × 100.20
  4. Step 4: Simplify right side
    149.29x = 20,636.21
  5. Step 5: Solve for x
    x = 20,636.21/149.29
  6. Step 6: Final answer
    x = 138.23

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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.