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Finding the Fourth Proportional to 245.30, 367.20 and 201.56

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Solution

The fourth proportional to 245.30, 367.20 and 201.56 is: 301.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.30 : 367.20 = 201.56 : x
  2. Step 2: Convert to fraction form
    245.30/367.20 = 201.56/x
  3. Step 3: Cross multiply
    245.30x = 367.20 × 201.56
  4. Step 4: Simplify right side
    245.30x = 74,011.00
  5. Step 5: Solve for x
    x = 74,011.00/245.30
  6. Step 6: Final answer
    x = 301.72

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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.