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Finding the Fourth Proportional to 358.85, 496.56 and 306.31

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Solution

The fourth proportional to 358.85, 496.56 and 306.31 is: 423.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.85 : 496.56 = 306.31 : x
  2. Step 2: Convert to fraction form
    358.85/496.56 = 306.31/x
  3. Step 3: Cross multiply
    358.85x = 496.56 × 306.31
  4. Step 4: Simplify right side
    358.85x = 152,101.29
  5. Step 5: Solve for x
    x = 152,101.29/358.85
  6. Step 6: Final answer
    x = 423.86

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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.