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Finding the Fourth Proportional to 245.11, 338.12 and 151.71

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Solution

The fourth proportional to 245.11, 338.12 and 151.71 is: 209.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.11 : 338.12 = 151.71 : x
  2. Step 2: Convert to fraction form
    245.11/338.12 = 151.71/x
  3. Step 3: Cross multiply
    245.11x = 338.12 × 151.71
  4. Step 4: Simplify right side
    245.11x = 51,294.73
  5. Step 5: Solve for x
    x = 51,294.73/245.11
  6. Step 6: Final answer
    x = 209.27

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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.