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Finding the Fourth Proportional to 220.93, 300.78 and 220.19

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Solution

The fourth proportional to 220.93, 300.78 and 220.19 is: 299.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.93 : 300.78 = 220.19 : x
  2. Step 2: Convert to fraction form
    220.93/300.78 = 220.19/x
  3. Step 3: Cross multiply
    220.93x = 300.78 × 220.19
  4. Step 4: Simplify right side
    220.93x = 66,227.24
  5. Step 5: Solve for x
    x = 66,227.24/220.93
  6. Step 6: Final answer
    x = 299.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.