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Finding the Fourth Proportional to 155.44, 214.62 and 143.65

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Solution

The fourth proportional to 155.44, 214.62 and 143.65 is: 198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.44 : 214.62 = 143.65 : x
  2. Step 2: Convert to fraction form
    155.44/214.62 = 143.65/x
  3. Step 3: Cross multiply
    155.44x = 214.62 × 143.65
  4. Step 4: Simplify right side
    155.44x = 30,829.89
  5. Step 5: Solve for x
    x = 30,829.89/155.44
  6. Step 6: Final answer
    x = 198.34

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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.