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Finding the Fourth Proportional to 245.24, 338.21 and 219.29

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Solution

The fourth proportional to 245.24, 338.21 and 219.29 is: 302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.24 : 338.21 = 219.29 : x
  2. Step 2: Convert to fraction form
    245.24/338.21 = 219.29/x
  3. Step 3: Cross multiply
    245.24x = 338.21 × 219.29
  4. Step 4: Simplify right side
    245.24x = 74,166.40
  5. Step 5: Solve for x
    x = 74,166.40/245.24
  6. Step 6: Final answer
    x = 302.42

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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.