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Finding the Fourth Proportional to 418.32, 575.72 and 353.68

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Solution

The fourth proportional to 418.32, 575.72 and 353.68 is: 486.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.32 : 575.72 = 353.68 : x
  2. Step 2: Convert to fraction form
    418.32/575.72 = 353.68/x
  3. Step 3: Cross multiply
    418.32x = 575.72 × 353.68
  4. Step 4: Simplify right side
    418.32x = 203,620.65
  5. Step 5: Solve for x
    x = 203,620.65/418.32
  6. Step 6: Final answer
    x = 486.76

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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.