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Finding the Fourth Proportional to 484.21, 726.30 and 119.00

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Solution

The fourth proportional to 484.21, 726.30 and 119.00 is: 178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.21 : 726.30 = 119.00 : x
  2. Step 2: Convert to fraction form
    484.21/726.30 = 119.00/x
  3. Step 3: Cross multiply
    484.21x = 726.30 × 119.00
  4. Step 4: Simplify right side
    484.21x = 86,426.07
  5. Step 5: Solve for x
    x = 86,426.07/484.21
  6. Step 6: Final answer
    x = 178.49

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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.