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Finding the Fourth Proportional to 155.87, 213.95 and 141.96

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Solution

The fourth proportional to 155.87, 213.95 and 141.96 is: 194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.87 : 213.95 = 141.96 : x
  2. Step 2: Convert to fraction form
    155.87/213.95 = 141.96/x
  3. Step 3: Cross multiply
    155.87x = 213.95 × 141.96
  4. Step 4: Simplify right side
    155.87x = 30,373.50
  5. Step 5: Solve for x
    x = 30,373.50/155.87
  6. Step 6: Final answer
    x = 194.87

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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.