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Finding the Fourth Proportional to 144.81, 215.96 and 137.65

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Solution

The fourth proportional to 144.81, 215.96 and 137.65 is: 205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.81 : 215.96 = 137.65 : x
  2. Step 2: Convert to fraction form
    144.81/215.96 = 137.65/x
  3. Step 3: Cross multiply
    144.81x = 215.96 × 137.65
  4. Step 4: Simplify right side
    144.81x = 29,726.89
  5. Step 5: Solve for x
    x = 29,726.89/144.81
  6. Step 6: Final answer
    x = 205.28

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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.