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Finding the Fourth Proportional to 155.08, 212.84 and 140.44

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Solution

The fourth proportional to 155.08, 212.84 and 140.44 is: 192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.08 : 212.84 = 140.44 : x
  2. Step 2: Convert to fraction form
    155.08/212.84 = 140.44/x
  3. Step 3: Cross multiply
    155.08x = 212.84 × 140.44
  4. Step 4: Simplify right side
    155.08x = 29,891.25
  5. Step 5: Solve for x
    x = 29,891.25/155.08
  6. Step 6: Final answer
    x = 192.75

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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.