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Finding the Fourth Proportional to 311.06, 465.91 and 173.81

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Solution

The fourth proportional to 311.06, 465.91 and 173.81 is: 260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.06 : 465.91 = 173.81 : x
  2. Step 2: Convert to fraction form
    311.06/465.91 = 173.81/x
  3. Step 3: Cross multiply
    311.06x = 465.91 × 173.81
  4. Step 4: Simplify right side
    311.06x = 80,980.55
  5. Step 5: Solve for x
    x = 80,980.55/311.06
  6. Step 6: Final answer
    x = 260.34

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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.