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Finding the Fourth Proportional to 484.22, 726.11 and 155.10

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Solution

The fourth proportional to 484.22, 726.11 and 155.10 is: 232.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.22 : 726.11 = 155.10 : x
  2. Step 2: Convert to fraction form
    484.22/726.11 = 155.10/x
  3. Step 3: Cross multiply
    484.22x = 726.11 × 155.10
  4. Step 4: Simplify right side
    484.22x = 112,619.66
  5. Step 5: Solve for x
    x = 112,619.66/484.22
  6. Step 6: Final answer
    x = 232.58

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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.