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Finding the Fourth Proportional to 484.51, 726.72 and 210.55

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Solution

The fourth proportional to 484.51, 726.72 and 210.55 is: 315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.51 : 726.72 = 210.55 : x
  2. Step 2: Convert to fraction form
    484.51/726.72 = 210.55/x
  3. Step 3: Cross multiply
    484.51x = 726.72 × 210.55
  4. Step 4: Simplify right side
    484.51x = 153,010.90
  5. Step 5: Solve for x
    x = 153,010.90/484.51
  6. Step 6: Final answer
    x = 315.81

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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.