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Finding the Fourth Proportional to 319.14, 478.42 and 221.69

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Solution

The fourth proportional to 319.14, 478.42 and 221.69 is: 332.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.14 : 478.42 = 221.69 : x
  2. Step 2: Convert to fraction form
    319.14/478.42 = 221.69/x
  3. Step 3: Cross multiply
    319.14x = 478.42 × 221.69
  4. Step 4: Simplify right side
    319.14x = 106,059.29
  5. Step 5: Solve for x
    x = 106,059.29/319.14
  6. Step 6: Final answer
    x = 332.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.