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Finding the Fourth Proportional to 245.85, 369.20 and 136.11

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Solution

The fourth proportional to 245.85, 369.20 and 136.11 is: 204.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.85 : 369.20 = 136.11 : x
  2. Step 2: Convert to fraction form
    245.85/369.20 = 136.11/x
  3. Step 3: Cross multiply
    245.85x = 369.20 × 136.11
  4. Step 4: Simplify right side
    245.85x = 50,251.81
  5. Step 5: Solve for x
    x = 50,251.81/245.85
  6. Step 6: Final answer
    x = 204.40

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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.