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Finding the Fourth Proportional to 358.11, 496.82 and 345.15

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Solution

The fourth proportional to 358.11, 496.82 and 345.15 is: 478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.11 : 496.82 = 345.15 : x
  2. Step 2: Convert to fraction form
    358.11/496.82 = 345.15/x
  3. Step 3: Cross multiply
    358.11x = 496.82 × 345.15
  4. Step 4: Simplify right side
    358.11x = 171,478.29
  5. Step 5: Solve for x
    x = 171,478.29/358.11
  6. Step 6: Final answer
    x = 478.84

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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.