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Finding the Fourth Proportional to 357.24, 492.84 and 209.78

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Solution

The fourth proportional to 357.24, 492.84 and 209.78 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.24 : 492.84 = 209.78 : x
  2. Step 2: Convert to fraction form
    357.24/492.84 = 209.78/x
  3. Step 3: Cross multiply
    357.24x = 492.84 × 209.78
  4. Step 4: Simplify right side
    357.24x = 103,387.98
  5. Step 5: Solve for x
    x = 103,387.98/357.24
  6. Step 6: Final answer
    x = 289.41

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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.