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Finding the Fourth Proportional to 445.20, 613.64 and 356.88

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Solution

The fourth proportional to 445.20, 613.64 and 356.88 is: 491.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.20 : 613.64 = 356.88 : x
  2. Step 2: Convert to fraction form
    445.20/613.64 = 356.88/x
  3. Step 3: Cross multiply
    445.20x = 613.64 × 356.88
  4. Step 4: Simplify right side
    445.20x = 218,995.84
  5. Step 5: Solve for x
    x = 218,995.84/445.20
  6. Step 6: Final answer
    x = 491.90

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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.