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Finding the Fourth Proportional to 465.49, 697.29 and 221.28

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Solution

The fourth proportional to 465.49, 697.29 and 221.28 is: 331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.49 : 697.29 = 221.28 : x
  2. Step 2: Convert to fraction form
    465.49/697.29 = 221.28/x
  3. Step 3: Cross multiply
    465.49x = 697.29 × 221.28
  4. Step 4: Simplify right side
    465.49x = 154,296.33
  5. Step 5: Solve for x
    x = 154,296.33/465.49
  6. Step 6: Final answer
    x = 331.47

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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.