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Finding the Fourth Proportional to 220.24, 327.65 and 211.60

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Solution

The fourth proportional to 220.24, 327.65 and 211.60 is: 314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.24 : 327.65 = 211.60 : x
  2. Step 2: Convert to fraction form
    220.24/327.65 = 211.60/x
  3. Step 3: Cross multiply
    220.24x = 327.65 × 211.60
  4. Step 4: Simplify right side
    220.24x = 69,330.74
  5. Step 5: Solve for x
    x = 69,330.74/220.24
  6. Step 6: Final answer
    x = 314.80

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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.