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Finding the Fourth Proportional to 149.21, 205.85 and 93.84

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Solution

The fourth proportional to 149.21, 205.85 and 93.84 is: 129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.21 : 205.85 = 93.84 : x
  2. Step 2: Convert to fraction form
    149.21/205.85 = 93.84/x
  3. Step 3: Cross multiply
    149.21x = 205.85 × 93.84
  4. Step 4: Simplify right side
    149.21x = 19,316.49
  5. Step 5: Solve for x
    x = 19,316.49/149.21
  6. Step 6: Final answer
    x = 129.46

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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.