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Finding the Fourth Proportional to 493.87, 681.58 and 319.72

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Solution

The fourth proportional to 493.87, 681.58 and 319.72 is: 441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.87 : 681.58 = 319.72 : x
  2. Step 2: Convert to fraction form
    493.87/681.58 = 319.72/x
  3. Step 3: Cross multiply
    493.87x = 681.58 × 319.72
  4. Step 4: Simplify right side
    493.87x = 217,911.46
  5. Step 5: Solve for x
    x = 217,911.46/493.87
  6. Step 6: Final answer
    x = 441.23

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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.