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Finding the Fourth Proportional to 150.25, 208.48 and 144.16

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Solution

The fourth proportional to 150.25, 208.48 and 144.16 is: 200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.25 : 208.48 = 144.16 : x
  2. Step 2: Convert to fraction form
    150.25/208.48 = 144.16/x
  3. Step 3: Cross multiply
    150.25x = 208.48 × 144.16
  4. Step 4: Simplify right side
    150.25x = 30,054.48
  5. Step 5: Solve for x
    x = 30,054.48/150.25
  6. Step 6: Final answer
    x = 200.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.