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Finding the Fourth Proportional to 245.76, 338.72 and 225.12

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Solution

The fourth proportional to 245.76, 338.72 and 225.12 is: 310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.76 : 338.72 = 225.12 : x
  2. Step 2: Convert to fraction form
    245.76/338.72 = 225.12/x
  3. Step 3: Cross multiply
    245.76x = 338.72 × 225.12
  4. Step 4: Simplify right side
    245.76x = 76,252.65
  5. Step 5: Solve for x
    x = 76,252.65/245.76
  6. Step 6: Final answer
    x = 310.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.