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Finding the Fourth Proportional to 484.01, 726.02 and 118.80

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Solution

The fourth proportional to 484.01, 726.02 and 118.80 is: 178.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.01 : 726.02 = 118.80 : x
  2. Step 2: Convert to fraction form
    484.01/726.02 = 118.80/x
  3. Step 3: Cross multiply
    484.01x = 726.02 × 118.80
  4. Step 4: Simplify right side
    484.01x = 86,250.58
  5. Step 5: Solve for x
    x = 86,250.58/484.01
  6. Step 6: Final answer
    x = 178.20

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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.