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Finding the Fourth Proportional to 144.28, 217.96 and 142.93

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Solution

The fourth proportional to 144.28, 217.96 and 142.93 is: 215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.28 : 217.96 = 142.93 : x
  2. Step 2: Convert to fraction form
    144.28/217.96 = 142.93/x
  3. Step 3: Cross multiply
    144.28x = 217.96 × 142.93
  4. Step 4: Simplify right side
    144.28x = 31,153.02
  5. Step 5: Solve for x
    x = 31,153.02/144.28
  6. Step 6: Final answer
    x = 215.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.