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Finding the Fourth Proportional to 245.54, 338.97 and 232.14

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Solution

The fourth proportional to 245.54, 338.97 and 232.14 is: 320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.54 : 338.97 = 232.14 : x
  2. Step 2: Convert to fraction form
    245.54/338.97 = 232.14/x
  3. Step 3: Cross multiply
    245.54x = 338.97 × 232.14
  4. Step 4: Simplify right side
    245.54x = 78,688.50
  5. Step 5: Solve for x
    x = 78,688.50/245.54
  6. Step 6: Final answer
    x = 320.47

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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.