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Finding the Fourth Proportional to 356.52, 492.04 and 209.15

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Solution

The fourth proportional to 356.52, 492.04 and 209.15 is: 288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.52 : 492.04 = 209.15 : x
  2. Step 2: Convert to fraction form
    356.52/492.04 = 209.15/x
  3. Step 3: Cross multiply
    356.52x = 492.04 × 209.15
  4. Step 4: Simplify right side
    356.52x = 102,910.87
  5. Step 5: Solve for x
    x = 102,910.87/356.52
  6. Step 6: Final answer
    x = 288.65

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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.