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Finding the Fourth Proportional to 135.06, 201.84 and 121.38

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Solution

The fourth proportional to 135.06, 201.84 and 121.38 is: 181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.06 : 201.84 = 121.38 : x
  2. Step 2: Convert to fraction form
    135.06/201.84 = 121.38/x
  3. Step 3: Cross multiply
    135.06x = 201.84 × 121.38
  4. Step 4: Simplify right side
    135.06x = 24,499.34
  5. Step 5: Solve for x
    x = 24,499.34/135.06
  6. Step 6: Final answer
    x = 181.40

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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.