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Finding the Fourth Proportional to 142.93, 213.22 and 120.25

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Solution

The fourth proportional to 142.93, 213.22 and 120.25 is: 179.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.93 : 213.22 = 120.25 : x
  2. Step 2: Convert to fraction form
    142.93/213.22 = 120.25/x
  3. Step 3: Cross multiply
    142.93x = 213.22 × 120.25
  4. Step 4: Simplify right side
    142.93x = 25,639.71
  5. Step 5: Solve for x
    x = 25,639.71/142.93
  6. Step 6: Final answer
    x = 179.39

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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.