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Finding the Fourth Proportional to 144.01, 215.03 and 119.71

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Solution

The fourth proportional to 144.01, 215.03 and 119.71 is: 178.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.01 : 215.03 = 119.71 : x
  2. Step 2: Convert to fraction form
    144.01/215.03 = 119.71/x
  3. Step 3: Cross multiply
    144.01x = 215.03 × 119.71
  4. Step 4: Simplify right side
    144.01x = 25,739.57
  5. Step 5: Solve for x
    x = 25,739.57/144.01
  6. Step 6: Final answer
    x = 178.74

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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.