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Finding the Fourth Proportional to 227.10, 312.02 and 183.30

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Solution

The fourth proportional to 227.10, 312.02 and 183.30 is: 251.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.10 : 312.02 = 183.30 : x
  2. Step 2: Convert to fraction form
    227.10/312.02 = 183.30/x
  3. Step 3: Cross multiply
    227.10x = 312.02 × 183.30
  4. Step 4: Simplify right side
    227.10x = 57,192.35
  5. Step 5: Solve for x
    x = 57,192.35/227.10
  6. Step 6: Final answer
    x = 251.84

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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.