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Finding the Fourth Proportional to 408.75, 562.32 and 334.89

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Solution

The fourth proportional to 408.75, 562.32 and 334.89 is: 460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.75 : 562.32 = 334.89 : x
  2. Step 2: Convert to fraction form
    408.75/562.32 = 334.89/x
  3. Step 3: Cross multiply
    408.75x = 562.32 × 334.89
  4. Step 4: Simplify right side
    408.75x = 188,315.34
  5. Step 5: Solve for x
    x = 188,315.34/408.75
  6. Step 6: Final answer
    x = 460.71

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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.