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Finding the Fourth Proportional to 149.90, 206.70 and 105.56

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Solution

The fourth proportional to 149.90, 206.70 and 105.56 is: 145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.90 : 206.70 = 105.56 : x
  2. Step 2: Convert to fraction form
    149.90/206.70 = 105.56/x
  3. Step 3: Cross multiply
    149.90x = 206.70 × 105.56
  4. Step 4: Simplify right side
    149.90x = 21,819.25
  5. Step 5: Solve for x
    x = 21,819.25/149.90
  6. Step 6: Final answer
    x = 145.56

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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.