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Finding the Fourth Proportional to 161.56, 243.40 and 136.45

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Solution

The fourth proportional to 161.56, 243.40 and 136.45 is: 205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.56 : 243.40 = 136.45 : x
  2. Step 2: Convert to fraction form
    161.56/243.40 = 136.45/x
  3. Step 3: Cross multiply
    161.56x = 243.40 × 136.45
  4. Step 4: Simplify right side
    161.56x = 33,211.93
  5. Step 5: Solve for x
    x = 33,211.93/161.56
  6. Step 6: Final answer
    x = 205.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.