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Finding the Fourth Proportional to 243.20, 335.37 and 216.53

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Solution

The fourth proportional to 243.20, 335.37 and 216.53 is: 298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.20 : 335.37 = 216.53 : x
  2. Step 2: Convert to fraction form
    243.20/335.37 = 216.53/x
  3. Step 3: Cross multiply
    243.20x = 335.37 × 216.53
  4. Step 4: Simplify right side
    243.20x = 72,617.67
  5. Step 5: Solve for x
    x = 72,617.67/243.20
  6. Step 6: Final answer
    x = 298.59

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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.