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Finding the Fourth Proportional to 493.36, 680.61 and 318.76

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Solution

The fourth proportional to 493.36, 680.61 and 318.76 is: 439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.36 : 680.61 = 318.76 : x
  2. Step 2: Convert to fraction form
    493.36/680.61 = 318.76/x
  3. Step 3: Cross multiply
    493.36x = 680.61 × 318.76
  4. Step 4: Simplify right side
    493.36x = 216,951.24
  5. Step 5: Solve for x
    x = 216,951.24/493.36
  6. Step 6: Final answer
    x = 439.74

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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.