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Finding the Fourth Proportional to 144.96, 216.47 and 126.72

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Solution

The fourth proportional to 144.96, 216.47 and 126.72 is: 189.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.96 : 216.47 = 126.72 : x
  2. Step 2: Convert to fraction form
    144.96/216.47 = 126.72/x
  3. Step 3: Cross multiply
    144.96x = 216.47 × 126.72
  4. Step 4: Simplify right side
    144.96x = 27,430.44
  5. Step 5: Solve for x
    x = 27,430.44/144.96
  6. Step 6: Final answer
    x = 189.23

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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.