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Finding the Fourth Proportional to 358.28, 496.94 and 343.70

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Solution

The fourth proportional to 358.28, 496.94 and 343.70 is: 476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.28 : 496.94 = 343.70 : x
  2. Step 2: Convert to fraction form
    358.28/496.94 = 343.70/x
  3. Step 3: Cross multiply
    358.28x = 496.94 × 343.70
  4. Step 4: Simplify right side
    358.28x = 170,798.28
  5. Step 5: Solve for x
    x = 170,798.28/358.28
  6. Step 6: Final answer
    x = 476.72

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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.