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Finding the Fourth Proportional to 137.34, 206.25 and 136.29

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Solution

The fourth proportional to 137.34, 206.25 and 136.29 is: 204.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.34 : 206.25 = 136.29 : x
  2. Step 2: Convert to fraction form
    137.34/206.25 = 136.29/x
  3. Step 3: Cross multiply
    137.34x = 206.25 × 136.29
  4. Step 4: Simplify right side
    137.34x = 28,109.81
  5. Step 5: Solve for x
    x = 28,109.81/137.34
  6. Step 6: Final answer
    x = 204.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.