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Finding the Fourth Proportional to 465.06, 641.77 and 268.57

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Solution

The fourth proportional to 465.06, 641.77 and 268.57 is: 370.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.06 : 641.77 = 268.57 : x
  2. Step 2: Convert to fraction form
    465.06/641.77 = 268.57/x
  3. Step 3: Cross multiply
    465.06x = 641.77 × 268.57
  4. Step 4: Simplify right side
    465.06x = 172,360.17
  5. Step 5: Solve for x
    x = 172,360.17/465.06
  6. Step 6: Final answer
    x = 370.62

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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.