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Finding the Fourth Proportional to 159.90, 219.25 and 144.30

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Solution

The fourth proportional to 159.90, 219.25 and 144.30 is: 197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.90 : 219.25 = 144.30 : x
  2. Step 2: Convert to fraction form
    159.90/219.25 = 144.30/x
  3. Step 3: Cross multiply
    159.90x = 219.25 × 144.30
  4. Step 4: Simplify right side
    159.90x = 31,636.59
  5. Step 5: Solve for x
    x = 31,636.59/159.90
  6. Step 6: Final answer
    x = 197.85

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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.