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Finding the Fourth Proportional to 347.73, 479.91 and 216.81

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Solution

The fourth proportional to 347.73, 479.91 and 216.81 is: 299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.73 : 479.91 = 216.81 : x
  2. Step 2: Convert to fraction form
    347.73/479.91 = 216.81/x
  3. Step 3: Cross multiply
    347.73x = 479.91 × 216.81
  4. Step 4: Simplify right side
    347.73x = 104,049.29
  5. Step 5: Solve for x
    x = 104,049.29/347.73
  6. Step 6: Final answer
    x = 299.22

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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.