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Finding the Fourth Proportional to 358.43, 491.27 and 353.57

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Solution

The fourth proportional to 358.43, 491.27 and 353.57 is: 484.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.43 : 491.27 = 353.57 : x
  2. Step 2: Convert to fraction form
    358.43/491.27 = 353.57/x
  3. Step 3: Cross multiply
    358.43x = 491.27 × 353.57
  4. Step 4: Simplify right side
    358.43x = 173,694.11
  5. Step 5: Solve for x
    x = 173,694.11/358.43
  6. Step 6: Final answer
    x = 484.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.