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Finding the Fourth Proportional to 155.39, 213.75 and 130.68

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Solution

The fourth proportional to 155.39, 213.75 and 130.68 is: 179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.39 : 213.75 = 130.68 : x
  2. Step 2: Convert to fraction form
    155.39/213.75 = 130.68/x
  3. Step 3: Cross multiply
    155.39x = 213.75 × 130.68
  4. Step 4: Simplify right side
    155.39x = 27,932.85
  5. Step 5: Solve for x
    x = 27,932.85/155.39
  6. Step 6: Final answer
    x = 179.77

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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.