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Finding the Fourth Proportional to 348.80, 520.68 and 323.47

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Solution

The fourth proportional to 348.80, 520.68 and 323.47 is: 482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.80 : 520.68 = 323.47 : x
  2. Step 2: Convert to fraction form
    348.80/520.68 = 323.47/x
  3. Step 3: Cross multiply
    348.80x = 520.68 × 323.47
  4. Step 4: Simplify right side
    348.80x = 168,420.14
  5. Step 5: Solve for x
    x = 168,420.14/348.80
  6. Step 6: Final answer
    x = 482.86

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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.