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Finding the Fourth Proportional to 220.17, 303.78 and 142.50

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Solution

The fourth proportional to 220.17, 303.78 and 142.50 is: 196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.17 : 303.78 = 142.50 : x
  2. Step 2: Convert to fraction form
    220.17/303.78 = 142.50/x
  3. Step 3: Cross multiply
    220.17x = 303.78 × 142.50
  4. Step 4: Simplify right side
    220.17x = 43,288.65
  5. Step 5: Solve for x
    x = 43,288.65/220.17
  6. Step 6: Final answer
    x = 196.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.