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Finding the Fourth Proportional to 137.10, 204.46 and 135.90

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Solution

The fourth proportional to 137.10, 204.46 and 135.90 is: 202.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.10 : 204.46 = 135.90 : x
  2. Step 2: Convert to fraction form
    137.10/204.46 = 135.90/x
  3. Step 3: Cross multiply
    137.10x = 204.46 × 135.90
  4. Step 4: Simplify right side
    137.10x = 27,785.43
  5. Step 5: Solve for x
    x = 27,785.43/137.10
  6. Step 6: Final answer
    x = 202.67

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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.