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Finding the Fourth Proportional to 227.64, 313.86 and 188.46

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Solution

The fourth proportional to 227.64, 313.86 and 188.46 is: 259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.64 : 313.86 = 188.46 : x
  2. Step 2: Convert to fraction form
    227.64/313.86 = 188.46/x
  3. Step 3: Cross multiply
    227.64x = 313.86 × 188.46
  4. Step 4: Simplify right side
    227.64x = 59,150.06
  5. Step 5: Solve for x
    x = 59,150.06/227.64
  6. Step 6: Final answer
    x = 259.84

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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.