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Finding the Fourth Proportional to 468.91, 646.24 and 311.26

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Solution

The fourth proportional to 468.91, 646.24 and 311.26 is: 428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.91 : 646.24 = 311.26 : x
  2. Step 2: Convert to fraction form
    468.91/646.24 = 311.26/x
  3. Step 3: Cross multiply
    468.91x = 646.24 × 311.26
  4. Step 4: Simplify right side
    468.91x = 201,149.50
  5. Step 5: Solve for x
    x = 201,149.50/468.91
  6. Step 6: Final answer
    x = 428.97

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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.