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Finding the Fourth Proportional to 347.14, 478.82 and 216.21

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Solution

The fourth proportional to 347.14, 478.82 and 216.21 is: 298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.14 : 478.82 = 216.21 : x
  2. Step 2: Convert to fraction form
    347.14/478.82 = 216.21/x
  3. Step 3: Cross multiply
    347.14x = 478.82 × 216.21
  4. Step 4: Simplify right side
    347.14x = 103,524.59
  5. Step 5: Solve for x
    x = 103,524.59/347.14
  6. Step 6: Final answer
    x = 298.23

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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.