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Finding the Fourth Proportional to 149.80, 206.74 and 83.42

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Solution

The fourth proportional to 149.80, 206.74 and 83.42 is: 115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.80 : 206.74 = 83.42 : x
  2. Step 2: Convert to fraction form
    149.80/206.74 = 83.42/x
  3. Step 3: Cross multiply
    149.80x = 206.74 × 83.42
  4. Step 4: Simplify right side
    149.80x = 17,244.80
  5. Step 5: Solve for x
    x = 17,244.80/149.80
  6. Step 6: Final answer
    x = 115.12

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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.