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Finding the Fourth Proportional to 220.95, 303.24 and 202.41

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Solution

The fourth proportional to 220.95, 303.24 and 202.41 is: 277.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.95 : 303.24 = 202.41 : x
  2. Step 2: Convert to fraction form
    220.95/303.24 = 202.41/x
  3. Step 3: Cross multiply
    220.95x = 303.24 × 202.41
  4. Step 4: Simplify right side
    220.95x = 61,378.81
  5. Step 5: Solve for x
    x = 61,378.81/220.95
  6. Step 6: Final answer
    x = 277.80

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.