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Finding the Fourth Proportional to 149.45, 206.23 and 129.97

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Solution

The fourth proportional to 149.45, 206.23 and 129.97 is: 179.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.45 : 206.23 = 129.97 : x
  2. Step 2: Convert to fraction form
    149.45/206.23 = 129.97/x
  3. Step 3: Cross multiply
    149.45x = 206.23 × 129.97
  4. Step 4: Simplify right side
    149.45x = 26,802.75
  5. Step 5: Solve for x
    x = 26,802.75/149.45
  6. Step 6: Final answer
    x = 179.35

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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.