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Finding the Fourth Proportional to 270.45, 405.41 and 172.67

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Solution

The fourth proportional to 270.45, 405.41 and 172.67 is: 258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.45 : 405.41 = 172.67 : x
  2. Step 2: Convert to fraction form
    270.45/405.41 = 172.67/x
  3. Step 3: Cross multiply
    270.45x = 405.41 × 172.67
  4. Step 4: Simplify right side
    270.45x = 70,002.04
  5. Step 5: Solve for x
    x = 70,002.04/270.45
  6. Step 6: Final answer
    x = 258.84

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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.