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Finding the Fourth Proportional to 465.72, 641.60 and 318.10

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Solution

The fourth proportional to 465.72, 641.60 and 318.10 is: 438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.72 : 641.60 = 318.10 : x
  2. Step 2: Convert to fraction form
    465.72/641.60 = 318.10/x
  3. Step 3: Cross multiply
    465.72x = 641.60 × 318.10
  4. Step 4: Simplify right side
    465.72x = 204,092.96
  5. Step 5: Solve for x
    x = 204,092.96/465.72
  6. Step 6: Final answer
    x = 438.23

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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.