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Finding the Fourth Proportional to 144.80, 199.60 and 115.64

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Solution

The fourth proportional to 144.80, 199.60 and 115.64 is: 159.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.80 : 199.60 = 115.64 : x
  2. Step 2: Convert to fraction form
    144.80/199.60 = 115.64/x
  3. Step 3: Cross multiply
    144.80x = 199.60 × 115.64
  4. Step 4: Simplify right side
    144.80x = 23,081.74
  5. Step 5: Solve for x
    x = 23,081.74/144.80
  6. Step 6: Final answer
    x = 159.40

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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.