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Finding the Fourth Proportional to 155.27, 213.77 and 135.86

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Solution

The fourth proportional to 155.27, 213.77 and 135.86 is: 187.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.27 : 213.77 = 135.86 : x
  2. Step 2: Convert to fraction form
    155.27/213.77 = 135.86/x
  3. Step 3: Cross multiply
    155.27x = 213.77 × 135.86
  4. Step 4: Simplify right side
    155.27x = 29,042.06
  5. Step 5: Solve for x
    x = 29,042.06/155.27
  6. Step 6: Final answer
    x = 187.04

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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.