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Finding the Fourth Proportional to 149.10, 205.56 and 104.78

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Solution

The fourth proportional to 149.10, 205.56 and 104.78 is: 144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.10 : 205.56 = 104.78 : x
  2. Step 2: Convert to fraction form
    149.10/205.56 = 104.78/x
  3. Step 3: Cross multiply
    149.10x = 205.56 × 104.78
  4. Step 4: Simplify right side
    149.10x = 21,539.35
  5. Step 5: Solve for x
    x = 21,539.35/149.10
  6. Step 6: Final answer
    x = 144.46

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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.