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Finding the Fourth Proportional to 484.25, 726.50 and 142.25

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Solution

The fourth proportional to 484.25, 726.50 and 142.25 is: 213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.25 : 726.50 = 142.25 : x
  2. Step 2: Convert to fraction form
    484.25/726.50 = 142.25/x
  3. Step 3: Cross multiply
    484.25x = 726.50 × 142.25
  4. Step 4: Simplify right side
    484.25x = 103,343.91
  5. Step 5: Solve for x
    x = 103,343.91/484.25
  6. Step 6: Final answer
    x = 213.41

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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.