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Finding the Fourth Proportional to 220.40, 303.96 and 142.64

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Solution

The fourth proportional to 220.40, 303.96 and 142.64 is: 196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.40 : 303.96 = 142.64 : x
  2. Step 2: Convert to fraction form
    220.40/303.96 = 142.64/x
  3. Step 3: Cross multiply
    220.40x = 303.96 × 142.64
  4. Step 4: Simplify right side
    220.40x = 43,356.85
  5. Step 5: Solve for x
    x = 43,356.85/220.40
  6. Step 6: Final answer
    x = 196.72

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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.