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Finding the Fourth Proportional to 149.18, 205.85 and 83.68

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Solution

The fourth proportional to 149.18, 205.85 and 83.68 is: 115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.18 : 205.85 = 83.68 : x
  2. Step 2: Convert to fraction form
    149.18/205.85 = 83.68/x
  3. Step 3: Cross multiply
    149.18x = 205.85 × 83.68
  4. Step 4: Simplify right side
    149.18x = 17,225.22
  5. Step 5: Solve for x
    x = 17,225.22/149.18
  6. Step 6: Final answer
    x = 115.47

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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.