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Finding the Fourth Proportional to 358.24, 496.70 and 338.80

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Solution

The fourth proportional to 358.24, 496.70 and 338.80 is: 469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.24 : 496.70 = 338.80 : x
  2. Step 2: Convert to fraction form
    358.24/496.70 = 338.80/x
  3. Step 3: Cross multiply
    358.24x = 496.70 × 338.80
  4. Step 4: Simplify right side
    358.24x = 168,281.96
  5. Step 5: Solve for x
    x = 168,281.96/358.24
  6. Step 6: Final answer
    x = 469.75

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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.