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Finding the Fourth Proportional to 357.12, 496.32 and 353.28

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Solution

The fourth proportional to 357.12, 496.32 and 353.28 is: 490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.12 : 496.32 = 353.28 : x
  2. Step 2: Convert to fraction form
    357.12/496.32 = 353.28/x
  3. Step 3: Cross multiply
    357.12x = 496.32 × 353.28
  4. Step 4: Simplify right side
    357.12x = 175,339.93
  5. Step 5: Solve for x
    x = 175,339.93/357.12
  6. Step 6: Final answer
    x = 490.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.