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Finding the Fourth Proportional to 358.69, 491.76 and 352.21

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Solution

The fourth proportional to 358.69, 491.76 and 352.21 is: 482.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.69 : 491.76 = 352.21 : x
  2. Step 2: Convert to fraction form
    358.69/491.76 = 352.21/x
  3. Step 3: Cross multiply
    358.69x = 491.76 × 352.21
  4. Step 4: Simplify right side
    358.69x = 173,200.33
  5. Step 5: Solve for x
    x = 173,200.33/358.69
  6. Step 6: Final answer
    x = 482.88

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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.