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Finding the Fourth Proportional to 230.72, 347.76 and 216.41

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Solution

The fourth proportional to 230.72, 347.76 and 216.41 is: 326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.72 : 347.76 = 216.41 : x
  2. Step 2: Convert to fraction form
    230.72/347.76 = 216.41/x
  3. Step 3: Cross multiply
    230.72x = 347.76 × 216.41
  4. Step 4: Simplify right side
    230.72x = 75,257.00
  5. Step 5: Solve for x
    x = 75,257.00/230.72
  6. Step 6: Final answer
    x = 326.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.