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Finding the Fourth Proportional to 408.65, 562.59 and 356.85

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Solution

The fourth proportional to 408.65, 562.59 and 356.85 is: 491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.65 : 562.59 = 356.85 : x
  2. Step 2: Convert to fraction form
    408.65/562.59 = 356.85/x
  3. Step 3: Cross multiply
    408.65x = 562.59 × 356.85
  4. Step 4: Simplify right side
    408.65x = 200,760.24
  5. Step 5: Solve for x
    x = 200,760.24/408.65
  6. Step 6: Final answer
    x = 491.28

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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.