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Finding the Fourth Proportional to 357.87, 494.14 and 269.48

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Solution

The fourth proportional to 357.87, 494.14 and 269.48 is: 372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.87 : 494.14 = 269.48 : x
  2. Step 2: Convert to fraction form
    357.87/494.14 = 269.48/x
  3. Step 3: Cross multiply
    357.87x = 494.14 × 269.48
  4. Step 4: Simplify right side
    357.87x = 133,160.85
  5. Step 5: Solve for x
    x = 133,160.85/357.87
  6. Step 6: Final answer
    x = 372.09

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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.