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Finding the Fourth Proportional to 220.09, 328.66 and 192.75

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Solution

The fourth proportional to 220.09, 328.66 and 192.75 is: 287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.09 : 328.66 = 192.75 : x
  2. Step 2: Convert to fraction form
    220.09/328.66 = 192.75/x
  3. Step 3: Cross multiply
    220.09x = 328.66 × 192.75
  4. Step 4: Simplify right side
    220.09x = 63,349.46
  5. Step 5: Solve for x
    x = 63,349.46/220.09
  6. Step 6: Final answer
    x = 287.84

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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.