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Finding the Fourth Proportional to 144.80, 215.71 and 137.76

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Solution

The fourth proportional to 144.80, 215.71 and 137.76 is: 205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.80 : 215.71 = 137.76 : x
  2. Step 2: Convert to fraction form
    144.80/215.71 = 137.76/x
  3. Step 3: Cross multiply
    144.80x = 215.71 × 137.76
  4. Step 4: Simplify right side
    144.80x = 29,716.21
  5. Step 5: Solve for x
    x = 29,716.21/144.80
  6. Step 6: Final answer
    x = 205.22

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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.