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Finding the Fourth Proportional to 149.78, 206.60 and 102.59

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Solution

The fourth proportional to 149.78, 206.60 and 102.59 is: 141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.78 : 206.60 = 102.59 : x
  2. Step 2: Convert to fraction form
    149.78/206.60 = 102.59/x
  3. Step 3: Cross multiply
    149.78x = 206.60 × 102.59
  4. Step 4: Simplify right side
    149.78x = 21,195.09
  5. Step 5: Solve for x
    x = 21,195.09/149.78
  6. Step 6: Final answer
    x = 141.51

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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.