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Finding the Fourth Proportional to 356.92, 492.42 and 209.45

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Solution

The fourth proportional to 356.92, 492.42 and 209.45 is: 288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.92 : 492.42 = 209.45 : x
  2. Step 2: Convert to fraction form
    356.92/492.42 = 209.45/x
  3. Step 3: Cross multiply
    356.92x = 492.42 × 209.45
  4. Step 4: Simplify right side
    356.92x = 103,139.39
  5. Step 5: Solve for x
    x = 103,139.39/356.92
  6. Step 6: Final answer
    x = 288.97

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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.