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Finding the Fourth Proportional to 227.35, 313.45 and 178.03

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Solution

The fourth proportional to 227.35, 313.45 and 178.03 is: 245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.35 : 313.45 = 178.03 : x
  2. Step 2: Convert to fraction form
    227.35/313.45 = 178.03/x
  3. Step 3: Cross multiply
    227.35x = 313.45 × 178.03
  4. Step 4: Simplify right side
    227.35x = 55,803.50
  5. Step 5: Solve for x
    x = 55,803.50/227.35
  6. Step 6: Final answer
    x = 245.45

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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.