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Finding the Fourth Proportional to 155.85, 213.81 and 154.59

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Solution

The fourth proportional to 155.85, 213.81 and 154.59 is: 212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.85 : 213.81 = 154.59 : x
  2. Step 2: Convert to fraction form
    155.85/213.81 = 154.59/x
  3. Step 3: Cross multiply
    155.85x = 213.81 × 154.59
  4. Step 4: Simplify right side
    155.85x = 33,052.89
  5. Step 5: Solve for x
    x = 33,052.89/155.85
  6. Step 6: Final answer
    x = 212.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.