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Finding the Fourth Proportional to 465.11, 641.73 and 268.58

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Solution

The fourth proportional to 465.11, 641.73 and 268.58 is: 370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.11 : 641.73 = 268.58 : x
  2. Step 2: Convert to fraction form
    465.11/641.73 = 268.58/x
  3. Step 3: Cross multiply
    465.11x = 641.73 × 268.58
  4. Step 4: Simplify right side
    465.11x = 172,352.63
  5. Step 5: Solve for x
    x = 172,352.63/465.11
  6. Step 6: Final answer
    x = 370.57

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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.