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Finding the Fourth Proportional to 493.38, 680.04 and 318.42

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Solution

The fourth proportional to 493.38, 680.04 and 318.42 is: 438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.38 : 680.04 = 318.42 : x
  2. Step 2: Convert to fraction form
    493.38/680.04 = 318.42/x
  3. Step 3: Cross multiply
    493.38x = 680.04 × 318.42
  4. Step 4: Simplify right side
    493.38x = 216,538.34
  5. Step 5: Solve for x
    x = 216,538.34/493.38
  6. Step 6: Final answer
    x = 438.89

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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.