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Finding the Fourth Proportional to 245.67, 338.73 and 214.89

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Solution

The fourth proportional to 245.67, 338.73 and 214.89 is: 296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.67 : 338.73 = 214.89 : x
  2. Step 2: Convert to fraction form
    245.67/338.73 = 214.89/x
  3. Step 3: Cross multiply
    245.67x = 338.73 × 214.89
  4. Step 4: Simplify right side
    245.67x = 72,789.69
  5. Step 5: Solve for x
    x = 72,789.69/245.67
  6. Step 6: Final answer
    x = 296.29

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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.