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Finding the Fourth Proportional to 378.65, 522.49 and 229.30

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Solution

The fourth proportional to 378.65, 522.49 and 229.30 is: 316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.65 : 522.49 = 229.30 : x
  2. Step 2: Convert to fraction form
    378.65/522.49 = 229.30/x
  3. Step 3: Cross multiply
    378.65x = 522.49 × 229.30
  4. Step 4: Simplify right side
    378.65x = 119,806.96
  5. Step 5: Solve for x
    x = 119,806.96/378.65
  6. Step 6: Final answer
    x = 316.41

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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.