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Finding the Fourth Proportional to 155.00, 213.80 and 105.77

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Solution

The fourth proportional to 155.00, 213.80 and 105.77 is: 145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.00 : 213.80 = 105.77 : x
  2. Step 2: Convert to fraction form
    155.00/213.80 = 105.77/x
  3. Step 3: Cross multiply
    155.00x = 213.80 × 105.77
  4. Step 4: Simplify right side
    155.00x = 22,612.03
  5. Step 5: Solve for x
    x = 22,612.03/155.00
  6. Step 6: Final answer
    x = 145.89

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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.