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Finding the Fourth Proportional to 135.14, 201.69 and 121.43

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Solution

The fourth proportional to 135.14, 201.69 and 121.43 is: 181.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.14 : 201.69 = 121.43 : x
  2. Step 2: Convert to fraction form
    135.14/201.69 = 121.43/x
  3. Step 3: Cross multiply
    135.14x = 201.69 × 121.43
  4. Step 4: Simplify right side
    135.14x = 24,491.72
  5. Step 5: Solve for x
    x = 24,491.72/135.14
  6. Step 6: Final answer
    x = 181.24

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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.