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Finding the Fourth Proportional to 357.29, 493.05 and 209.92

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Solution

The fourth proportional to 357.29, 493.05 and 209.92 is: 289.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.29 : 493.05 = 209.92 : x
  2. Step 2: Convert to fraction form
    357.29/493.05 = 209.92/x
  3. Step 3: Cross multiply
    357.29x = 493.05 × 209.92
  4. Step 4: Simplify right side
    357.29x = 103,501.06
  5. Step 5: Solve for x
    x = 103,501.06/357.29
  6. Step 6: Final answer
    x = 289.68

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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.