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Finding the Fourth Proportional to 356.66, 492.09 and 209.21

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Solution

The fourth proportional to 356.66, 492.09 and 209.21 is: 288.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.66 : 492.09 = 209.21 : x
  2. Step 2: Convert to fraction form
    356.66/492.09 = 209.21/x
  3. Step 3: Cross multiply
    356.66x = 492.09 × 209.21
  4. Step 4: Simplify right side
    356.66x = 102,950.15
  5. Step 5: Solve for x
    x = 102,950.15/356.66
  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.