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Finding the Fourth Proportional to 358.20, 496.96 and 340.36

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Solution

The fourth proportional to 358.20, 496.96 and 340.36 is: 472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.20 : 496.96 = 340.36 : x
  2. Step 2: Convert to fraction form
    358.20/496.96 = 340.36/x
  3. Step 3: Cross multiply
    358.20x = 496.96 × 340.36
  4. Step 4: Simplify right side
    358.20x = 169,145.31
  5. Step 5: Solve for x
    x = 169,145.31/358.20
  6. Step 6: Final answer
    x = 472.21

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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.