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Finding the Fourth Proportional to 142.53, 212.75 and 122.37

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Solution

The fourth proportional to 142.53, 212.75 and 122.37 is: 182.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.53 : 212.75 = 122.37 : x
  2. Step 2: Convert to fraction form
    142.53/212.75 = 122.37/x
  3. Step 3: Cross multiply
    142.53x = 212.75 × 122.37
  4. Step 4: Simplify right side
    142.53x = 26,034.22
  5. Step 5: Solve for x
    x = 26,034.22/142.53
  6. Step 6: Final answer
    x = 182.66

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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.