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Finding the Fourth Proportional to 357.29, 493.03 and 209.91

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Solution

The fourth proportional to 357.29, 493.03 and 209.91 is: 289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.29 : 493.03 = 209.91 : x
  2. Step 2: Convert to fraction form
    357.29/493.03 = 209.91/x
  3. Step 3: Cross multiply
    357.29x = 493.03 × 209.91
  4. Step 4: Simplify right side
    357.29x = 103,491.93
  5. Step 5: Solve for x
    x = 103,491.93/357.29
  6. Step 6: Final answer
    x = 289.66

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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.