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Finding the Fourth Proportional to 240.29, 362.20 and 219.77

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Solution

The fourth proportional to 240.29, 362.20 and 219.77 is: 331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.29 : 362.20 = 219.77 : x
  2. Step 2: Convert to fraction form
    240.29/362.20 = 219.77/x
  3. Step 3: Cross multiply
    240.29x = 362.20 × 219.77
  4. Step 4: Simplify right side
    240.29x = 79,600.69
  5. Step 5: Solve for x
    x = 79,600.69/240.29
  6. Step 6: Final answer
    x = 331.27

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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.