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Finding the Fourth Proportional to 270.12, 405.08 and 161.79

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Solution

The fourth proportional to 270.12, 405.08 and 161.79 is: 242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.12 : 405.08 = 161.79 : x
  2. Step 2: Convert to fraction form
    270.12/405.08 = 161.79/x
  3. Step 3: Cross multiply
    270.12x = 405.08 × 161.79
  4. Step 4: Simplify right side
    270.12x = 65,537.89
  5. Step 5: Solve for x
    x = 65,537.89/270.12
  6. Step 6: Final answer
    x = 242.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.