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Finding the Fourth Proportional to 203.76, 303.98 and 183.24

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Solution

The fourth proportional to 203.76, 303.98 and 183.24 is: 273.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.76 : 303.98 = 183.24 : x
  2. Step 2: Convert to fraction form
    203.76/303.98 = 183.24/x
  3. Step 3: Cross multiply
    203.76x = 303.98 × 183.24
  4. Step 4: Simplify right side
    203.76x = 55,700.38
  5. Step 5: Solve for x
    x = 55,700.38/203.76
  6. Step 6: Final answer
    x = 273.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.