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Finding the Fourth Proportional to 393.61, 543.17 and 216.57

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Solution

The fourth proportional to 393.61, 543.17 and 216.57 is: 298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.61 : 543.17 = 216.57 : x
  2. Step 2: Convert to fraction form
    393.61/543.17 = 216.57/x
  3. Step 3: Cross multiply
    393.61x = 543.17 × 216.57
  4. Step 4: Simplify right side
    393.61x = 117,634.33
  5. Step 5: Solve for x
    x = 117,634.33/393.61
  6. Step 6: Final answer
    x = 298.86

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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.