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Finding the Fourth Proportional to 349.38, 521.53 and 324.05

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Solution

The fourth proportional to 349.38, 521.53 and 324.05 is: 483.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.38 : 521.53 = 324.05 : x
  2. Step 2: Convert to fraction form
    349.38/521.53 = 324.05/x
  3. Step 3: Cross multiply
    349.38x = 521.53 × 324.05
  4. Step 4: Simplify right side
    349.38x = 168,998.38
  5. Step 5: Solve for x
    x = 168,998.38/349.38
  6. Step 6: Final answer
    x = 483.71

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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.