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Finding the Fourth Proportional to 270.70, 405.69 and 168.01

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Solution

The fourth proportional to 270.70, 405.69 and 168.01 is: 251.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.70 : 405.69 = 168.01 : x
  2. Step 2: Convert to fraction form
    270.70/405.69 = 168.01/x
  3. Step 3: Cross multiply
    270.70x = 405.69 × 168.01
  4. Step 4: Simplify right side
    270.70x = 68,159.98
  5. Step 5: Solve for x
    x = 68,159.98/270.70
  6. Step 6: Final answer
    x = 251.79

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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.