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Finding the Fourth Proportional to 484.31, 726.59 and 142.31

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Solution

The fourth proportional to 484.31, 726.59 and 142.31 is: 213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.31 : 726.59 = 142.31 : x
  2. Step 2: Convert to fraction form
    484.31/726.59 = 142.31/x
  3. Step 3: Cross multiply
    484.31x = 726.59 × 142.31
  4. Step 4: Simplify right side
    484.31x = 103,403.20
  5. Step 5: Solve for x
    x = 103,403.20/484.31
  6. Step 6: Final answer
    x = 213.51

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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.