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Finding the Fourth Proportional to 960.31, 1,440.42 and 311.06

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Solution

The fourth proportional to 960.31, 1,440.42 and 311.06 is: 466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.31 : 1,440.42 = 311.06 : x
  2. Step 2: Convert to fraction form
    960.31/1,440.42 = 311.06/x
  3. Step 3: Cross multiply
    960.31x = 1,440.42 × 311.06
  4. Step 4: Simplify right side
    960.31x = 448,057.05
  5. Step 5: Solve for x
    x = 448,057.05/960.31
  6. Step 6: Final answer
    x = 466.58

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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.