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Finding the Fourth Proportional to 465.27, 641.68 and 376.41

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Solution

The fourth proportional to 465.27, 641.68 and 376.41 is: 519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.27 : 641.68 = 376.41 : x
  2. Step 2: Convert to fraction form
    465.27/641.68 = 376.41/x
  3. Step 3: Cross multiply
    465.27x = 641.68 × 376.41
  4. Step 4: Simplify right side
    465.27x = 241,534.77
  5. Step 5: Solve for x
    x = 241,534.77/465.27
  6. Step 6: Final answer
    x = 519.13

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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.