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Finding the Fourth Proportional to 444.66, 668.25 and 262.14

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Solution

The fourth proportional to 444.66, 668.25 and 262.14 is: 393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.66 : 668.25 = 262.14 : x
  2. Step 2: Convert to fraction form
    444.66/668.25 = 262.14/x
  3. Step 3: Cross multiply
    444.66x = 668.25 × 262.14
  4. Step 4: Simplify right side
    444.66x = 175,175.06
  5. Step 5: Solve for x
    x = 175,175.06/444.66
  6. Step 6: Final answer
    x = 393.95

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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.