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Finding the Fourth Proportional to 320.34, 441.96 and 216.84

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Solution

The fourth proportional to 320.34, 441.96 and 216.84 is: 299.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.34 : 441.96 = 216.84 : x
  2. Step 2: Convert to fraction form
    320.34/441.96 = 216.84/x
  3. Step 3: Cross multiply
    320.34x = 441.96 × 216.84
  4. Step 4: Simplify right side
    320.34x = 95,834.61
  5. Step 5: Solve for x
    x = 95,834.61/320.34
  6. Step 6: Final answer
    x = 299.17

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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.