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Finding the Fourth Proportional to 155.00, 213.77 and 105.80

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Solution

The fourth proportional to 155.00, 213.77 and 105.80 is: 145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.00 : 213.77 = 105.80 : x
  2. Step 2: Convert to fraction form
    155.00/213.77 = 105.80/x
  3. Step 3: Cross multiply
    155.00x = 213.77 × 105.80
  4. Step 4: Simplify right side
    155.00x = 22,616.06
  5. Step 5: Solve for x
    x = 22,616.06/155.00
  6. Step 6: Final answer
    x = 145.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.