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Finding the Fourth Proportional to 294.56, 439.96 and 213.36

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Solution

The fourth proportional to 294.56, 439.96 and 213.36 is: 318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.56 : 439.96 = 213.36 : x
  2. Step 2: Convert to fraction form
    294.56/439.96 = 213.36/x
  3. Step 3: Cross multiply
    294.56x = 439.96 × 213.36
  4. Step 4: Simplify right side
    294.56x = 93,869.87
  5. Step 5: Solve for x
    x = 93,869.87/294.56
  6. Step 6: Final answer
    x = 318.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.