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Finding the Fourth Proportional to 142.74, 213.08 and 122.08

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Solution

The fourth proportional to 142.74, 213.08 and 122.08 is: 182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.74 : 213.08 = 122.08 : x
  2. Step 2: Convert to fraction form
    142.74/213.08 = 122.08/x
  3. Step 3: Cross multiply
    142.74x = 213.08 × 122.08
  4. Step 4: Simplify right side
    142.74x = 26,012.81
  5. Step 5: Solve for x
    x = 26,012.81/142.74
  6. Step 6: Final answer
    x = 182.24

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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.