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Finding the Fourth Proportional to 484.03, 726.10 and 159.43

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Solution

The fourth proportional to 484.03, 726.10 and 159.43 is: 239.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.03 : 726.10 = 159.43 : x
  2. Step 2: Convert to fraction form
    484.03/726.10 = 159.43/x
  3. Step 3: Cross multiply
    484.03x = 726.10 × 159.43
  4. Step 4: Simplify right side
    484.03x = 115,762.12
  5. Step 5: Solve for x
    x = 115,762.12/484.03
  6. Step 6: Final answer
    x = 239.16

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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.