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Finding the Fourth Proportional to 245.14, 369.14 and 204.37

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Solution

The fourth proportional to 245.14, 369.14 and 204.37 is: 307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.14 : 369.14 = 204.37 : x
  2. Step 2: Convert to fraction form
    245.14/369.14 = 204.37/x
  3. Step 3: Cross multiply
    245.14x = 369.14 × 204.37
  4. Step 4: Simplify right side
    245.14x = 75,439.20
  5. Step 5: Solve for x
    x = 75,439.20/245.14
  6. Step 6: Final answer
    x = 307.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.