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Finding the Fourth Proportional to 358.56, 498.29 and 353.97

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Solution

The fourth proportional to 358.56, 498.29 and 353.97 is: 491.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.56 : 498.29 = 353.97 : x
  2. Step 2: Convert to fraction form
    358.56/498.29 = 353.97/x
  3. Step 3: Cross multiply
    358.56x = 498.29 × 353.97
  4. Step 4: Simplify right side
    358.56x = 176,377.94
  5. Step 5: Solve for x
    x = 176,377.94/358.56
  6. Step 6: Final answer
    x = 491.91

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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.