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Finding the Fourth Proportional to 493.75, 681.42 and 314.27

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Solution

The fourth proportional to 493.75, 681.42 and 314.27 is: 433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.75 : 681.42 = 314.27 : x
  2. Step 2: Convert to fraction form
    493.75/681.42 = 314.27/x
  3. Step 3: Cross multiply
    493.75x = 681.42 × 314.27
  4. Step 4: Simplify right side
    493.75x = 214,151.57
  5. Step 5: Solve for x
    x = 214,151.57/493.75
  6. Step 6: Final answer
    x = 433.73

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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.