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Finding the Fourth Proportional to 540.92, 811.61 and 216.34

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Solution

The fourth proportional to 540.92, 811.61 and 216.34 is: 324.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.92 : 811.61 = 216.34 : x
  2. Step 2: Convert to fraction form
    540.92/811.61 = 216.34/x
  3. Step 3: Cross multiply
    540.92x = 811.61 × 216.34
  4. Step 4: Simplify right side
    540.92x = 175,578.57
  5. Step 5: Solve for x
    x = 175,578.57/540.92
  6. Step 6: Final answer
    x = 324.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.