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Finding the Fourth Proportional to 221, 329.48 and 215.12

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Solution

The fourth proportional to 221, 329.48 and 215.12 is: 320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221 : 329.48 = 215.12 : x
  2. Step 2: Convert to fraction form
    221/329.48 = 215.12/x
  3. Step 3: Cross multiply
    221x = 329.48 × 215.12
  4. Step 4: Simplify right side
    221x = 70,877.74
  5. Step 5: Solve for x
    x = 70,877.74/221
  6. Step 6: Final answer
    x = 320.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.