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Finding the Fourth Proportional to 358.80, 492.42 and 343.44

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Solution

The fourth proportional to 358.80, 492.42 and 343.44 is: 471.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.80 : 492.42 = 343.44 : x
  2. Step 2: Convert to fraction form
    358.80/492.42 = 343.44/x
  3. Step 3: Cross multiply
    358.80x = 492.42 × 343.44
  4. Step 4: Simplify right side
    358.80x = 169,116.72
  5. Step 5: Solve for x
    x = 169,116.72/358.80
  6. Step 6: Final answer
    x = 471.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.