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Finding the Fourth Proportional to 493.42, 681.10 and 318.82

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Solution

The fourth proportional to 493.42, 681.10 and 318.82 is: 440.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.42 : 681.10 = 318.82 : x
  2. Step 2: Convert to fraction form
    493.42/681.10 = 318.82/x
  3. Step 3: Cross multiply
    493.42x = 681.10 × 318.82
  4. Step 4: Simplify right side
    493.42x = 217,148.30
  5. Step 5: Solve for x
    x = 217,148.30/493.42
  6. Step 6: Final answer
    x = 440.09

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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.