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Finding the Fourth Proportional to 220.32, 303.60 and 142.56

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Solution

The fourth proportional to 220.32, 303.60 and 142.56 is: 196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.32 : 303.60 = 142.56 : x
  2. Step 2: Convert to fraction form
    220.32/303.60 = 142.56/x
  3. Step 3: Cross multiply
    220.32x = 303.60 × 142.56
  4. Step 4: Simplify right side
    220.32x = 43,281.22
  5. Step 5: Solve for x
    x = 43,281.22/220.32
  6. Step 6: Final answer
    x = 196.45

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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.