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Finding the Fourth Proportional to 144.25, 215.19 and 128.86

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Solution

The fourth proportional to 144.25, 215.19 and 128.86 is: 192.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.25 : 215.19 = 128.86 : x
  2. Step 2: Convert to fraction form
    144.25/215.19 = 128.86/x
  3. Step 3: Cross multiply
    144.25x = 215.19 × 128.86
  4. Step 4: Simplify right side
    144.25x = 27,728.85
  5. Step 5: Solve for x
    x = 27,728.85/144.25
  6. Step 6: Final answer
    x = 192.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.