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Finding the Fourth Proportional to 484.54, 726.78 and 210.44

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Solution

The fourth proportional to 484.54, 726.78 and 210.44 is: 315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.54 : 726.78 = 210.44 : x
  2. Step 2: Convert to fraction form
    484.54/726.78 = 210.44/x
  3. Step 3: Cross multiply
    484.54x = 726.78 × 210.44
  4. Step 4: Simplify right side
    484.54x = 152,943.58
  5. Step 5: Solve for x
    x = 152,943.58/484.54
  6. Step 6: Final answer
    x = 315.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.