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Finding the Fourth Proportional to 144.96, 199.71 and 115.80

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Solution

The fourth proportional to 144.96, 199.71 and 115.80 is: 159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.96 : 199.71 = 115.80 : x
  2. Step 2: Convert to fraction form
    144.96/199.71 = 115.80/x
  3. Step 3: Cross multiply
    144.96x = 199.71 × 115.80
  4. Step 4: Simplify right side
    144.96x = 23,126.42
  5. Step 5: Solve for x
    x = 23,126.42/144.96
  6. Step 6: Final answer
    x = 159.54

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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.