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Finding the Fourth Proportional to 960.25, 1,440.38 and 276.25

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Solution

The fourth proportional to 960.25, 1,440.38 and 276.25 is: 414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.25 : 1,440.38 = 276.25 : x
  2. Step 2: Convert to fraction form
    960.25/1,440.38 = 276.25/x
  3. Step 3: Cross multiply
    960.25x = 1,440.38 × 276.25
  4. Step 4: Simplify right side
    960.25x = 397,904.98
  5. Step 5: Solve for x
    x = 397,904.98/960.25
  6. Step 6: Final answer
    x = 414.38

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1.5x scale

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.