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Finding the Fourth Proportional to 142.71, 213.19 and 120.93

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Solution

The fourth proportional to 142.71, 213.19 and 120.93 is: 180.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.71 : 213.19 = 120.93 : x
  2. Step 2: Convert to fraction form
    142.71/213.19 = 120.93/x
  3. Step 3: Cross multiply
    142.71x = 213.19 × 120.93
  4. Step 4: Simplify right side
    142.71x = 25,781.07
  5. Step 5: Solve for x
    x = 25,781.07/142.71
  6. Step 6: Final answer
    x = 180.65

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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.