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Finding the Fourth Proportional to 220.67, 303.80 and 183.77

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Solution

The fourth proportional to 220.67, 303.80 and 183.77 is: 252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.67 : 303.80 = 183.77 : x
  2. Step 2: Convert to fraction form
    220.67/303.80 = 183.77/x
  3. Step 3: Cross multiply
    220.67x = 303.80 × 183.77
  4. Step 4: Simplify right side
    220.67x = 55,829.06
  5. Step 5: Solve for x
    x = 55,829.06/220.67
  6. Step 6: Final answer
    x = 252.99

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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.