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Finding the Fourth Proportional to 462.26, 638.26 and 304.86

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Solution

The fourth proportional to 462.26, 638.26 and 304.86 is: 420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.26 : 638.26 = 304.86 : x
  2. Step 2: Convert to fraction form
    462.26/638.26 = 304.86/x
  3. Step 3: Cross multiply
    462.26x = 638.26 × 304.86
  4. Step 4: Simplify right side
    462.26x = 194,579.94
  5. Step 5: Solve for x
    x = 194,579.94/462.26
  6. Step 6: Final answer
    x = 420.93

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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.