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Finding the Fourth Proportional to 349.31, 520.88 and 324.20

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Solution

The fourth proportional to 349.31, 520.88 and 324.20 is: 483.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.31 : 520.88 = 324.20 : x
  2. Step 2: Convert to fraction form
    349.31/520.88 = 324.20/x
  3. Step 3: Cross multiply
    349.31x = 520.88 × 324.20
  4. Step 4: Simplify right side
    349.31x = 168,870.80
  5. Step 5: Solve for x
    x = 168,870.80/349.31
  6. Step 6: Final answer
    x = 483.44

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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.