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Finding the Fourth Proportional to 348.63, 520.40 and 323.28

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Solution

The fourth proportional to 348.63, 520.40 and 323.28 is: 482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.63 : 520.40 = 323.28 : x
  2. Step 2: Convert to fraction form
    348.63/520.40 = 323.28/x
  3. Step 3: Cross multiply
    348.63x = 520.40 × 323.28
  4. Step 4: Simplify right side
    348.63x = 168,233.30
  5. Step 5: Solve for x
    x = 168,233.30/348.63
  6. Step 6: Final answer
    x = 482.56

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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.