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Finding the Fourth Proportional to 358.82, 494.56 and 296.45

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Solution

The fourth proportional to 358.82, 494.56 and 296.45 is: 408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.82 : 494.56 = 296.45 : x
  2. Step 2: Convert to fraction form
    358.82/494.56 = 296.45/x
  3. Step 3: Cross multiply
    358.82x = 494.56 × 296.45
  4. Step 4: Simplify right side
    358.82x = 146,608.36
  5. Step 5: Solve for x
    x = 146,608.36/358.82
  6. Step 6: Final answer
    x = 408.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.