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Finding the Fourth Proportional to 960.17, 1,440.32 and 266.94

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Solution

The fourth proportional to 960.17, 1,440.32 and 266.94 is: 400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.17 : 1,440.32 = 266.94 : x
  2. Step 2: Convert to fraction form
    960.17/1,440.32 = 266.94/x
  3. Step 3: Cross multiply
    960.17x = 1,440.32 × 266.94
  4. Step 4: Simplify right side
    960.17x = 384,477.69
  5. Step 5: Solve for x
    x = 384,477.69/960.17
  6. Step 6: Final answer
    x = 400.43

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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.