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Finding the Fourth Proportional to 149.56, 206.08 and 118.58

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Solution

The fourth proportional to 149.56, 206.08 and 118.58 is: 163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.56 : 206.08 = 118.58 : x
  2. Step 2: Convert to fraction form
    149.56/206.08 = 118.58/x
  3. Step 3: Cross multiply
    149.56x = 206.08 × 118.58
  4. Step 4: Simplify right side
    149.56x = 24,435.64
  5. Step 5: Solve for x
    x = 24,435.64/149.56
  6. Step 6: Final answer
    x = 163.39

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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.